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408042660 = 223537414483
BaseRepresentation
bin11000010100100…
…011110010100100
31001102210201022010
4120110203302210
51313424331120
6104253434220
713053206514
oct3024436244
91042721263
10408042660
1119a369543
12b479b970
13666c927c
143c299844
1525c517e0
hex18523ca4

408042660 has 96 divisors (see below), whose sum is σ = 1202285952. Its totient is φ = 103265280.

The previous prime is 408042617. The next prime is 408042683. The reversal of 408042660 is 66240804.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88779 + ... + 93261.

It is an arithmetic number, because the mean of its divisors is an integer number (12523812).

Almost surely, 2408042660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408042660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601142976).

408042660 is an abundant number, since it is smaller than the sum of its proper divisors (794243292).

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

408042660 is a wasteful number, since it uses less digits than its factorization.

408042660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 408042660 is about 20200.0658414769. The cubic root of 408042660 is about 741.7118028893.

The spelling of 408042660 in words is "four hundred eight million, forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 41 60 74 82 111 123 148 164 185 205 222 246 370 410 444 492 555 615 740 820 1110 1230 1517 2220 2460 3034 4483 4551 6068 7585 8966 9102 13449 15170 17932 18204 22415 22755 26898 30340 44830 45510 53796 67245 89660 91020 134490 165871 183803 268980 331742 367606 497613 551409 663484 735212 829355 919015 995226 1102818 1658710 1838030 1990452 2205636 2488065 2757045 3317420 3676060 4976130 5514090 6800711 9952260 11028180 13601422 20402133 27202844 34003555 40804266 68007110 81608532 102010665 136014220 204021330 408042660