251142468 has 48 divisors (see below), whose sum is σ = 598920000. Its totient is φ = 81883008.

The previous prime is 251142467. The next prime is 251142481. The reversal of 251142468 is 864241152.

It is a happy number.

251142468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (251142467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161358 + ... + 162906.

It is an arithmetic number, because the mean of its divisors is an integer number (12477500).

Almost surely, 2^251142468 is an apocalyptic number.

It is an amenable number.

251142468 is an abundant number, since it is smaller than the sum of its proper divisors (347777532).

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

251142468 is a wasteful number, since it uses less digits than its factorization.

251142468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1842 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 251142468 is about 15847.4751301272. The cubic root of 251142468 is about 630.9186798658.

The spelling of 251142468 in words is "two hundred fifty-one million, one hundred forty-two thousand, four hundred sixty-eight".