457815977641 has 9 divisors (see below), whose sum is σ = 503227396189. Its totient is φ = 416189577100.

The previous prime is 457815977599. The next prime is 457815977747. The reversal of 457815977641 is 146779518754.

The square root of 457815977641 is 676621.

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

It is not a de Polignac number, because 457815977641 - 2²⁵ = 457782423209 is a prime.

It is a super-2 number, since 2×457815977641² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457815917641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7412076 + ... + 7473586.

Almost surely, 2^457815977641 is an apocalyptic number.

457815977641 is the 676621-st square number.

457815977641 is the 338311-st centered octagonal number.

It is an amenable number.

457815977641 is a deficient number, since it is larger than the sum of its proper divisors (45411418548).

457815977641 is an frugal number, since it uses more digits than its factorization.

457815977641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123044 (or 61522 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 64.

Multiplying 457815977641 by its sum of digits (64), we get a square (29300222569024 = 5412968²).

The spelling of 457815977641 in words is "four hundred fifty-seven billion, eight hundred fifteen million, nine hundred seventy-seven thousand, six hundred forty-one".