454976640 has 96 divisors (see below), whose sum is σ = 1571111100. Its totient is φ = 121325568.

The previous prime is 454976581. The next prime is 454976653. The reversal of 454976640 is 46679454.

454976640 is a `hidden beast` number, since 4 + 549 + 7 + 66 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 449100864 + 5875776 = 21192^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33735 + ... + 45254.

Almost surely, 2^454976640 is an apocalyptic number.

454976640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454976640 is an abundant number, since it is smaller than the sum of its proper divisors (1116134460).

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

454976640 is a wasteful number, since it uses less digits than its factorization.

454976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79014 (or 78999 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 454976640 is about 21330.1814338275. The cubic root of 454976640 is about 769.1240052031.

The spelling of 454976640 in words is "four hundred fifty-four million, nine hundred seventy-six thousand, six hundred forty".