252665600 has 216 divisors, whose sum is σ = 707902608. Its totient is φ = 88473600.

The previous prime is 252665587. The next prime is 252665617. The reversal of 252665600 is 6566252.

252665600 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 (32).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2604752 + ... + 2604848.

Almost surely, 2^252665600 is an apocalyptic number.

252665600 is a gapful number since it is divisible by the number (20) 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 252665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353951304).

252665600 is an abundant number, since it is smaller than the sum of its proper divisors (455237008).

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

252665600 is a wasteful number, since it uses less digits than its factorization.

252665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 252665600 is about 15895.4584708966. The cubic root of 252665600 is about 632.1915778770.

The spelling of 252665600 in words is "two hundred fifty-two million, six hundred sixty-five thousand, six hundred".