457502079321 has 81 divisors (see below), whose sum is σ = 795090831093. Its totient is φ = 252753041520.

The previous prime is 457502079299. The next prime is 457502079337. The reversal of 457502079321 is 123970205754.

It is a happy number.

The square root of 457502079321 is 676389.

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

457502079321 is a `hidden beast` number, since 4 + 57 + 502 + 0 + 7 + 93 + 2 + 1 = 666.

It is not a de Polignac number, because 457502079321 - 2⁷ = 457502079193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (457502079361) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 440328720 + ... + 440329758.

Almost surely, 2^457502079321 is an apocalyptic number.

457502079321 is the 676389-th square number.

457502079321 is the 338195-th centered octagonal number.

It is an amenable number.

457502079321 is a deficient number, since it is larger than the sum of its proper divisors (337588751772).

457502079321 is an equidigital number, since it uses as much as digits as its factorization.

457502079321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 457502079321 in words is "four hundred fifty-seven billion, five hundred two million, seventy-nine thousand, three hundred twenty-one".