252993600 has 126 divisors (see below), whose sum is σ = 899250170. Its totient is φ = 67461120.

The previous prime is 252993589. The next prime is 252993617. The reversal of 252993600 is 6399252.

252993600 is a `hidden beast` number, since 2 + 5 + 299 + 360 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 251666496 = 1152^2 + 15864^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5616 + ... + 23184.

Almost surely, 2^252993600 is an apocalyptic number.

252993600 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 252993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449625085).

252993600 is an abundant number, since it is smaller than the sum of its proper divisors (646256570).

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

252993600 is a wasteful number, since it uses less digits than its factorization.

252993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17597 (or 17579 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 252993600 is about 15905.7725370382. The cubic root of 252993600 is about 632.4650212134.

The spelling of 252993600 in words is "two hundred fifty-two million, nine hundred ninety-three thousand, six hundred".