252735800 has 96 divisors (see below), whose sum is σ = 606858480. Its totient is φ = 97843200.

The previous prime is 252735781. The next prime is 252735817. The reversal of 252735800 is 8537252.

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, 1197695 + ... + 1197905.

Almost surely, 2^252735800 is an apocalyptic number.

252735800 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 252735800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303429240).

252735800 is an abundant number, since it is smaller than the sum of its proper divisors (354122680).

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

252735800 is a wasteful number, since it uses less digits than its factorization.

252735800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 252735800 is about 15897.6664954326. Note that the first 3 decimals coincide. The cubic root of 252735800 is about 632.2501213158.

The spelling of 252735800 in words is "two hundred fifty-two million, seven hundred thirty-five thousand, eight hundred".