251679864 has 64 divisors (see below), whose sum is σ = 653184000. Its totient is φ = 80716160.

The previous prime is 251679863. The next prime is 251679919. The reversal of 251679864 is 468976152.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251679863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299557 + ... + 300395.

It is an arithmetic number, because the mean of its divisors is an integer number (10206000).

Almost surely, 2^251679864 is an apocalyptic number.

251679864 is a gapful number since it is divisible by the number (24) 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 251679864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592000).

251679864 is an abundant number, since it is smaller than the sum of its proper divisors (401504136).

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

251679864 is a wasteful number, since it uses less digits than its factorization.

251679864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1304 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 251679864 is about 15864.4213257213. The cubic root of 251679864 is about 631.3683736575.

The spelling of 251679864 in words is "two hundred fifty-one million, six hundred seventy-nine thousand, eight hundred sixty-four".