457577838025 has 135 divisors (see below), whose sum is σ = 730478725319. Its totient is φ = 284106900000.

The previous prime is 457577838019. The next prime is 457577838037. The reversal of 457577838025 is 520838775754.

It is a happy number.

The square root of 457577838025 is 676445.

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., 164728021689 + 292849816336 = 405867^2 + 541156^2 .

It is not a de Polignac number, because 457577838025 - 2³⁵ = 423218099657 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1823019150 + ... + 1823019400.

Almost surely, 2^457577838025 is an apocalyptic number.

457577838025 is the 676445-th square number.

457577838025 is the 338223-rd centered octagonal number.

It is an amenable number.

457577838025 is a deficient number, since it is larger than the sum of its proper divisors (272900887294).

457577838025 is an frugal number, since it uses more digits than its factorization.

457577838025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 65856000, while the sum is 61.

The spelling of 457577838025 in words is "four hundred fifty-seven billion, five hundred seventy-seven million, eight hundred thirty-eight thousand, twenty-five".