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454121460 = 2232513194069
BaseRepresentation
bin11011000100010…
…101011111110100
31011122111202112100
4123010111133310
51412223341320
6113021222100
714152653162
oct3304253764
91148452470
10454121460
112133811a1
12108101930
1373110930
1444452232
1529d04790
hex1b1157f4

454121460 has 72 divisors (see below), whose sum is σ = 1483471080. Its totient is φ = 111783168.

The previous prime is 454121441. The next prime is 454121471. The reversal of 454121460 is 64121454.

It can be written as a sum of positive squares in 4 ways, for example, as 30338064 + 423783396 = 5508^2 + 20586^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94695 + ... + 99374.

It is an arithmetic number, because the mean of its divisors is an integer number (20603765).

Almost surely, 2454121460 is an apocalyptic number.

It is an amenable number.

454121460 is an abundant number, since it is smaller than the sum of its proper divisors (1029349620).

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

454121460 is a wasteful number, since it uses less digits than its factorization.

454121460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194097 (or 194092 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 454121460 is about 21310.1257621817. The cubic root of 454121460 is about 768.6418178127.

It can be divided in two parts, 454121 and 460, that added together give a triangular number (454581 = T953).

The spelling of 454121460 in words is "four hundred fifty-four million, one hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 194069 388138 582207 776276 970345 1164414 1746621 1940690 2328828 2522897 2911035 3493242 3881380 5045794 5822070 6986484 7568691 8733105 10091588 11644140 12614485 15137382 17466210 22706073 25228970 30274764 34932420 37843455 45412146 50457940 75686910 90824292 113530365 151373820 227060730 454121460