251476164 has 45 divisors (see below), whose sum is σ = 658155421. Its totient is φ = 83730240.

The previous prime is 251476117. The next prime is 251476171. The reversal of 251476164 is 461674152.

The square root of 251476164 is 15858.

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

251476164 is a `hidden beast` number, since 25 + 1 + 476 + 164 = 666.

251476164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 44116164 + 207360000 = 6642^2 + 14400^2 .

It is a super-2 number, since 2×251476164² = 126480522120309792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 285004 + ... + 285884.

Almost surely, 2^251476164 is an apocalyptic number.

251476164 is the 15858-th square number.

It is an amenable number.

251476164 is an abundant number, since it is smaller than the sum of its proper divisors (406679257).

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

251476164 is an frugal number, since it uses more digits than its factorization.

251476164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 886 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The cubic root of 251476164 is about 631.1979925915.

Multiplying 251476164 by its sum of digits (36), we get a square (9053141904 = 95148²).

251476164 divided by its sum of digits (36) gives a square (6985449 = 2643²).

The spelling of 251476164 in words is "two hundred fifty-one million, four hundred seventy-six thousand, one hundred sixty-four".