251432040 has 128 divisors (see below), whose sum is σ = 812592000. Its totient is φ = 62005248.

The previous prime is 251432029. The next prime is 251432081. The reversal of 251432040 is 40234152.

251432040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 251431998 and 251432016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119316 + ... + 121404.

It is an arithmetic number, because the mean of its divisors is an integer number (6348375).

Almost surely, 2^251432040 is an apocalyptic number.

251432040 is a gapful number since it is divisible by the number (20) 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 251432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406296000).

251432040 is an abundant number, since it is smaller than the sum of its proper divisors (561159960).

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

251432040 is a wasteful number, since it uses less digits than its factorization.

251432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 251432040 is about 15856.6087168726. The cubic root of 251432040 is about 631.1610737720.

Adding to 251432040 its reverse (40234152), we get a palindrome (291666192).

The spelling of 251432040 in words is "two hundred fifty-one million, four hundred thirty-two thousand, forty".