252355400 has 96 divisors (see below), whose sum is σ = 644021280. Its totient is φ = 91200000.

The previous prime is 252355391. The next prime is 252355417. The reversal of 252355400 is 4553252.

It is a self number, because there is not a number n which added to its sum of digits gives 252355400.

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, 551972 + ... + 552428.

It is an arithmetic number, because the mean of its divisors is an integer number (6708555).

Almost surely, 2^252355400 is an apocalyptic number.

252355400 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 252355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322010640).

252355400 is an abundant number, since it is smaller than the sum of its proper divisors (391665880).

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

252355400 is a wasteful number, since it uses less digits than its factorization.

252355400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 252355400 is about 15885.6979701869. The cubic root of 252355400 is about 631.9327560246.

The spelling of 252355400 in words is "two hundred fifty-two million, three hundred fifty-five thousand, four hundred".