251286672 has 80 divisors (see below), whose sum is σ = 798976640. Its totient is φ = 66272256.

The previous prime is 251286671. The next prime is 251286677. The reversal of 251286672 is 276682152.

251286672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 251286672.

It is not an unprimeable number, because it can be changed into a prime (251286671) 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, 24397 + ... + 33132.

It is an arithmetic number, because the mean of its divisors is an integer number (9987208).

Almost surely, 2^251286672 is an apocalyptic number.

It is an amenable number.

251286672 is an abundant number, since it is smaller than the sum of its proper divisors (547689968).

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

251286672 is a wasteful number, since it uses less digits than its factorization.

251286672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57560 (or 57554 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 251286672 is about 15852.0242240542. The cubic root of 251286672 is about 631.0394129170.

The spelling of 251286672 in words is "two hundred fifty-one million, two hundred eighty-six thousand, six hundred seventy-two".