457268078656 has 63 divisors (see below), whose sum is σ = 914390252877. Its totient is φ = 226883992320.

The previous prime is 457268078623. The next prime is 457268078669. The reversal of 457268078656 is 656870862754.

It is a happy number.

The square root of 457268078656 is 676216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5038728256 + 452229350400 = 70984^2 + 672480^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 979160535 + ... + 979161001.

Almost surely, 2^457268078656 is an apocalyptic number.

457268078656 is the 676216-th square number.

It is an amenable number.

457268078656 is a deficient number, since it is larger than the sum of its proper divisors (457122174221).

457268078656 is an frugal number, since it uses more digits than its factorization.

457268078656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 64.

Multiplying 457268078656 by its sum of digits (64), we get a square (29265157033984 = 5409728²).

457268078656 divided by its sum of digits (64) gives a square (7144813729 = 84527²).

The spelling of 457268078656 in words is "four hundred fifty-seven billion, two hundred sixty-eight million, seventy-eight thousand, six hundred fifty-six".