251040768 has 352 divisors, whose sum is σ = 848931840. Its totient is φ = 64880640.

The previous prime is 251040739. The next prime is 251040781. The reversal of 251040768 is 867040152.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10914805 + ... + 10914827.

Almost surely, 2^251040768 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 251040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424465920).

251040768 is an abundant number, since it is smaller than the sum of its proper divisors (597891072).

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

251040768 is a wasteful number, since it uses less digits than its factorization.

251040768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 251040768 is about 15844.2660921862. The cubic root of 251040768 is about 630.8335049804.

The spelling of 251040768 in words is "two hundred fifty-one million, forty thousand, seven hundred sixty-eight".