251452992 has 224 divisors, whose sum is σ = 822553600. Its totient is φ = 66189312.

The previous prime is 251452979. The next prime is 251453009. The reversal of 251452992 is 299254152.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 251452992.

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, 1097934 + ... + 1098162.

Almost surely, 2^251452992 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 251452992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411276800).

251452992 is an abundant number, since it is smaller than the sum of its proper divisors (571100608).

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

251452992 is a wasteful number, since it uses less digits than its factorization.

251452992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 251452992 is about 15857.2693740127. The cubic root of 251452992 is about 631.1786049765.

The spelling of 251452992 in words is "two hundred fifty-one million, four hundred fifty-two thousand, nine hundred ninety-two".