251604352 has 64 divisors (see below), whose sum is σ = 543272400. Its totient is φ = 115605504.

The previous prime is 251604349. The next prime is 251604407. The reversal of 251604352 is 253406152.

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

It is a self number, because there is not a number n which added to its sum of digits gives 251604352.

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, 92224 + ... + 94912.

Almost surely, 2^251604352 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 251604352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271636200).

251604352 is an abundant number, since it is smaller than the sum of its proper divisors (291668048).

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

251604352 is a wasteful number, since it uses less digits than its factorization.

251604352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 251604352 is about 15862.0412305605. The cubic root of 251604352 is about 631.3052237803.

The spelling of 251604352 in words is "two hundred fifty-one million, six hundred four thousand, three hundred fifty-two".