251422752 has 96 divisors (see below), whose sum is σ = 787110912. Its totient is φ = 68707584.

The previous prime is 251422751. The next prime is 251422781. The reversal of 251422752 is 257224152.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (251422751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7323 + ... + 23589.

It is an arithmetic number, because the mean of its divisors is an integer number (8199072).

Almost surely, 2^251422752 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 251422752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393555456).

251422752 is an abundant number, since it is smaller than the sum of its proper divisors (535688160).

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

251422752 is a wasteful number, since it uses less digits than its factorization.

251422752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16310 (or 16302 counting only the distinct ones).

The product of its digits is 11200, while the sum is 30.

The square root of 251422752 is about 15856.3158394376. The cubic root of 251422752 is about 631.1533018956.

The spelling of 251422752 in words is "two hundred fifty-one million, four hundred twenty-two thousand, seven hundred fifty-two".