251968290 has 96 divisors (see below), whose sum is σ = 708087744. Its totient is φ = 57214080.

The previous prime is 251968273. The next prime is 251968303. The reversal of 251968290 is 92869152.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265597 + ... + 266543.

It is an arithmetic number, because the mean of its divisors is an integer number (7375914).

Almost surely, 2^251968290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251968290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354043872).

251968290 is an abundant number, since it is smaller than the sum of its proper divisors (456119454).

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

251968290 is a wasteful number, since it uses less digits than its factorization.

251968290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 251968290 is about 15873.5090638460. The cubic root of 251968290 is about 631.6094650349.

The spelling of 251968290 in words is "two hundred fifty-one million, nine hundred sixty-eight thousand, two hundred ninety".