251992320 has 144 divisors (see below), whose sum is σ = 812367360. Its totient is φ = 66568192.

The previous prime is 251992313. The next prime is 251992327. The reversal of 251992320 is 23299152.

It is an interprime number because it is at equal distance from previous prime (251992313) and next prime (251992327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251992327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525841 + ... + 526319.

It is an arithmetic number, because the mean of its divisors is an integer number (5641440).

Almost surely, 2^251992320 is an apocalyptic number.

251992320 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 251992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406183680).

251992320 is an abundant number, since it is smaller than the sum of its proper divisors (560375040).

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

251992320 is a wasteful number, since it uses less digits than its factorization.

251992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 251992320 is about 15874.2659672818. The cubic root of 251992320 is about 631.6295430812.

The spelling of 251992320 in words is "two hundred fifty-one million, nine hundred ninety-two thousand, three hundred twenty".