251959980 has 48 divisors (see below), whose sum is σ = 706666464. Its totient is φ = 67077120.

The previous prime is 251959943. The next prime is 251959991. The reversal of 251959980 is 89959152.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 36484 + ... + 42836.

It is an arithmetic number, because the mean of its divisors is an integer number (14722218).

Almost surely, 2^251959980 is an apocalyptic number.

251959980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251959980 is an abundant number, since it is smaller than the sum of its proper divisors (454706484).

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

251959980 is a wasteful number, since it uses less digits than its factorization.

251959980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 48.

The square root of 251959980 is about 15873.2473048208. The cubic root of 251959980 is about 631.6025213935.

The spelling of 251959980 in words is "two hundred fifty-one million, nine hundred fifty-nine thousand, nine hundred eighty".