251149932 has 144 divisors (see below), whose sum is σ = 725516064. Its totient is φ = 72576000.

The previous prime is 251149897. The next prime is 251149957. The reversal of 251149932 is 239941152.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893632 + ... + 893912.

It is an arithmetic number, because the mean of its divisors is an integer number (5038306).

Almost surely, 2^251149932 is an apocalyptic number.

251149932 is a gapful number since it is divisible by the number (22) 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 251149932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362758032).

251149932 is an abundant number, since it is smaller than the sum of its proper divisors (474366132).

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

251149932 is a wasteful number, since it uses less digits than its factorization.

251149932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 395 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 251149932 is about 15847.7106233046. The cubic root of 251149932 is about 630.9249301434.

The spelling of 251149932 in words is "two hundred fifty-one million, one hundred forty-nine thousand, nine hundred thirty-two".