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401606450460 = 223352332335463
BaseRepresentation
bin1011101100000011001…
…11000001110100011100
31102101121122101111202000
411312001213001310130
523034442222403320
6504255004002300
741005116335025
oct5660147016434
91371548344660
10401606450460
1114535840a406
1265a01230390
132bb433c2147
141561b695c4c
15a6a796dc90
hex5d819c1d1c

401606450460 has 96 divisors (see below), whose sum is σ = 1303765908480. Its totient is φ = 102438743616.

The previous prime is 401606450423. The next prime is 401606450461. The reversal of 401606450460 is 64054606104.

401606450460 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 0 + 645 + 0 + 4 + 6 + 0 = 666.

It is a super-2 number, since 2×4016064504602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401606450461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16155312 + ... + 16180151.

It is an arithmetic number, because the mean of its divisors is an integer number (13580894880).

Almost surely, 2401606450460 is an apocalyptic number.

It is an amenable number.

401606450460 is an abundant number, since it is smaller than the sum of its proper divisors (902159458020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401606450460 is a wasteful number, since it uses less digits than its factorization.

401606450460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32335504 (or 32335496 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 401606450460 in words is "four hundred one billion, six hundred six million, four hundred fifty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 32335463 64670926 97006389 129341852 161677315 194012778 291019167 323354630 388025556 485031945 582038334 646709260 743715649 873057501 970063890 1164076668 1455095835 1487431298 1746115002 1940127780 2231146947 2910191670 2974862596 3492230004 3718578245 4365287505 4462293894 5820383340 6693440841 7437156490 8730575010 8924587788 11155734735 13386881682 14874312980 17461150020 20080322523 22311469470 26773763364 33467204205 40160645046 44622938940 66934408410 80321290092 100401612615 133868816820 200803225230 401606450460