251050440 has 64 divisors (see below), whose sum is σ = 757008000. Its totient is φ = 66604032.

The previous prime is 251050433. The next prime is 251050463. The reversal of 251050440 is 44050152.

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 15 ways as a sum of consecutive naturals, for example, 18624 + ... + 29136.

It is an arithmetic number, because the mean of its divisors is an integer number (11828250).

Almost surely, 2^251050440 is an apocalyptic number.

251050440 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 251050440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378504000).

251050440 is an abundant number, since it is smaller than the sum of its proper divisors (505957560).

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

251050440 is a wasteful number, since it uses less digits than its factorization.

251050440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10726 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 251050440 is about 15844.5713100734. The cubic root of 251050440 is about 630.8416063781.

The spelling of 251050440 in words is "two hundred fifty-one million, fifty thousand, four hundred forty".