251868960 has 192 divisors, whose sum is σ = 1007596800. Its totient is φ = 57563136.

The previous prime is 251868937. The next prime is 251868961. The reversal of 251868960 is 69868152.

It is a super-2 number, since 2×251868960² = 126875946022963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (251868961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26076 + ... + 34404.

It is an arithmetic number, because the mean of its divisors is an integer number (5247900).

Almost surely, 2^251868960 is an apocalyptic number.

251868960 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 251868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503798400).

251868960 is an abundant number, since it is smaller than the sum of its proper divisors (755727840).

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

251868960 is a wasteful number, since it uses less digits than its factorization.

251868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8360 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 251868960 is about 15870.3799576444. The cubic root of 251868960 is about 631.5264572166.

The spelling of 251868960 in words is "two hundred fifty-one million, eight hundred sixty-eight thousand, nine hundred sixty".