457605040 has 20 divisors (see below), whose sum is σ = 1063931904. Its totient is φ = 183041984.

The previous prime is 457605023. The next prime is 457605041. The reversal of 457605040 is 40506754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 457604993 and 457605011.

It is not an unprimeable number, because it can be changed into a prime (457605041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2859952 + ... + 2860111.

Almost surely, 2^457605040 is an apocalyptic number.

457605040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457605040 is an abundant number, since it is smaller than the sum of its proper divisors (606326864).

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

457605040 is a wasteful number, since it uses less digits than its factorization.

457605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720076 (or 5720070 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 457605040 is about 21391.7049343899. The cubic root of 457605040 is about 770.6022386936.

The spelling of 457605040 in words is "four hundred fifty-seven million, six hundred five thousand, forty".