251951872 has 36 divisors (see below), whose sum is σ = 504786240. Its totient is φ = 125508608.

The previous prime is 251951857. The next prime is 251951879. The reversal of 251951872 is 278159152.

It is not an unprimeable number, because it can be changed into a prime (251951879) 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 3 ways as a sum of consecutive naturals, for example, 73329 + ... + 76687.

It is an arithmetic number, because the mean of its divisors is an integer number (14021840).

Almost surely, 2^251951872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252393120).

251951872 is an abundant number, since it is smaller than the sum of its proper divisors (252834368).

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

251951872 is an equidigital number, since it uses as much as digits as its factorization.

251951872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3654 counting only the distinct ones).

The product of its digits is 50400, while the sum is 40.

The square root of 251951872 is about 15872.9919044898. The cubic root of 251951872 is about 631.5957463914.

The spelling of 251951872 in words is "two hundred fifty-one million, nine hundred fifty-one thousand, eight hundred seventy-two".