252102400 has 108 divisors (see below), whose sum is σ = 680909544. Its totient is φ = 91648000.

The previous prime is 252102377. The next prime is 252102419. The reversal of 252102400 is 4201252.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 68610 + ... + 72190.

It is an arithmetic number, because the mean of its divisors is an integer number (6304718).

Almost surely, 2^252102400 is an apocalyptic number.

252102400 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 252102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340454772).

252102400 is an abundant number, since it is smaller than the sum of its proper divisors (428807144).

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

252102400 is a wasteful number, since it uses less digits than its factorization.

252102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 252102400 is about 15877.7328356412. The cubic root of 252102400 is about 631.7215031035.

Adding to 252102400 its reverse (4201252), we get a palindrome (256303652).

The spelling of 252102400 in words is "two hundred fifty-two million, one hundred two thousand, four hundred".