252264672 has 288 divisors, whose sum is σ = 858009600. Its totient is φ = 71850240.

The previous prime is 252264643. The next prime is 252264781. The reversal of 252264672 is 276462252.

252264672 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 646 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1986273 + ... + 1986399.

It is an arithmetic number, because the mean of its divisors is an integer number (2979200).

Almost surely, 2^252264672 is an apocalyptic number.

252264672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429004800).

252264672 is an abundant number, since it is smaller than the sum of its proper divisors (605744928).

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

252264672 is a wasteful number, since it uses less digits than its factorization.

252264672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 252264672 is about 15882.8420630566. The cubic root of 252264672 is about 631.8570151350.

The spelling of 252264672 in words is "two hundred fifty-two million, two hundred sixty-four thousand, six hundred seventy-two".