251604920 has 64 divisors (see below), whose sum is σ = 649313280. Its totient is φ = 85954176.

The previous prime is 251604887. The next prime is 251604943. The reversal of 251604920 is 29406152.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84497 + ... + 87423.

It is an arithmetic number, because the mean of its divisors is an integer number (10145520).

Almost surely, 2^251604920 is an apocalyptic number.

251604920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251604920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324656640).

251604920 is an abundant number, since it is smaller than the sum of its proper divisors (397708360).

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

251604920 is a wasteful number, since it uses less digits than its factorization.

251604920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 251604920 is about 15862.0591349295. The cubic root of 251604920 is about 631.3056988398.

The spelling of 251604920 in words is "two hundred fifty-one million, six hundred four thousand, nine hundred twenty".