251983872 has 360 divisors, whose sum is σ = 903782880. Its totient is φ = 69672960.

The previous prime is 251983861. The next prime is 251983891. The reversal of 251983872 is 278389152.

It is a happy number.

It is a super-2 number, since 2×251983872² = 126991743496224768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8128497 + ... + 8128527.

It is an arithmetic number, because the mean of its divisors is an integer number (2510508).

Almost surely, 2^251983872 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 251983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451891440).

251983872 is an abundant number, since it is smaller than the sum of its proper divisors (651799008).

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

251983872 is an equidigital number, since it uses as much as digits as its factorization.

251983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 43 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 251983872 is about 15873.9998740078. Note that the first 3 decimals coincide. The cubic root of 251983872 is about 631.6224845777.

The spelling of 251983872 in words is "two hundred fifty-one million, nine hundred eighty-three thousand, eight hundred seventy-two".