251466672 has 80 divisors (see below), whose sum is σ = 690709760. Its totient is φ = 78610176.

The previous prime is 251466671. The next prime is 251466713. The reversal of 251466672 is 276664152.

It is a self number, because there is not a number n which added to its sum of digits gives 251466672.

It is not an unprimeable number, because it can be changed into a prime (251466671) 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, 92598 + ... + 95274.

It is an arithmetic number, because the mean of its divisors is an integer number (8633872).

Almost surely, 2^251466672 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 251466672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345354880).

251466672 is an abundant number, since it is smaller than the sum of its proper divisors (439243088).

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

251466672 is a wasteful number, since it uses less digits than its factorization.

251466672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2804 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 251466672 is about 15857.7007160559. The cubic root of 251466672 is about 631.1900509419.

The spelling of 251466672 in words is "two hundred fifty-one million, four hundred sixty-six thousand, six hundred seventy-two".