251216472 has 96 divisors (see below), whose sum is σ = 685547280. Its totient is φ = 76677120.

The previous prime is 251216453. The next prime is 251216479. The reversal of 251216472 is 274612152.

251216472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251216479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977368 + ... + 977624.

Almost surely, 2^251216472 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 251216472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342773640).

251216472 is an abundant number, since it is smaller than the sum of its proper divisors (434330808).

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

251216472 is a wasteful number, since it uses less digits than its factorization.

251216472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 516 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 251216472 is about 15849.8098411306. The cubic root of 251216472 is about 630.9806445892.

The spelling of 251216472 in words is "two hundred fifty-one million, two hundred sixteen thousand, four hundred seventy-two".