251630464 has 64 divisors (see below), whose sum is σ = 534386160. Its totient is φ = 117612544.

The previous prime is 251630459. The next prime is 251630473. The reversal of 251630464 is 464036152.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428379 + ... + 428965.

Almost surely, 2^251630464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267193080).

251630464 is an abundant number, since it is smaller than the sum of its proper divisors (282755696).

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

251630464 is a wasteful number, since it uses less digits than its factorization.

251630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 251630464 is about 15862.8643062973. The cubic root of 251630464 is about 631.3270623953.

The spelling of 251630464 in words is "two hundred fifty-one million, six hundred thirty thousand, four hundred sixty-four".