251772664 has 64 divisors (see below), whose sum is σ = 573804000. Its totient is φ = 101982720.

The previous prime is 251772659. The next prime is 251772673. The reversal of 251772664 is 466277152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29382 + ... + 36970.

Almost surely, 2^251772664 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 251772664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286902000).

251772664 is an abundant number, since it is smaller than the sum of its proper divisors (322031336).

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

251772664 is a wasteful number, since it uses less digits than its factorization.

251772664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7644 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The square root of 251772664 is about 15867.3458398057. The cubic root of 251772664 is about 631.4459640063.

The spelling of 251772664 in words is "two hundred fifty-one million, seven hundred seventy-two thousand, six hundred sixty-four".