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457040960 = 2651428253
BaseRepresentation
bin11011001111011…
…110010001000000
31011212000002022222
4123033132101000
51414000302320
6113203550212
714216532635
oct3317362100
91155002288
10457040960
11214a95702
1210908b368
13738c374c
14449b218c
152a1ce825
hex1b3de440

457040960 has 28 divisors (see below), whose sum is σ = 1088329548. Its totient is φ = 182816256.

The previous prime is 457040939. The next prime is 457040999. The reversal of 457040960 is 69040754.

It can be written as a sum of positive squares in 2 ways, for example, as 171295744 + 285745216 = 13088^2 + 16904^2 .

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 457040960.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 713807 + ... + 714446.

Almost surely, 2457040960 is an apocalyptic number.

457040960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457040960 is an abundant number, since it is smaller than the sum of its proper divisors (631288588).

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

457040960 is a wasteful number, since it uses less digits than its factorization.

457040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428270 (or 1428260 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 457040960 is about 21378.5163189591. The cubic root of 457040960 is about 770.2854735048.

The spelling of 457040960 in words is "four hundred fifty-seven million, forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1428253 2856506 5713012 7141265 11426024 14282530 22852048 28565060 45704096 57130120 91408192 114260240 228520480 457040960