252388400 has 120 divisors (see below), whose sum is σ = 696532800. Its totient is φ = 86918400.

The previous prime is 252388379. The next prime is 252388403. The reversal of 252388400 is 4883252.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (252388403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82091 + ... + 85109.

It is an arithmetic number, because the mean of its divisors is an integer number (5804440).

Almost surely, 2^252388400 is an apocalyptic number.

252388400 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 252388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348266400).

252388400 is an abundant number, since it is smaller than the sum of its proper divisors (444144400).

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

252388400 is a wasteful number, since it uses less digits than its factorization.

252388400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 252388400 is about 15886.7366063644. The cubic root of 252388400 is about 631.9603003424.

The spelling of 252388400 in words is "two hundred fifty-two million, three hundred eighty-eight thousand, four hundred".