252632400 has 60 divisors (see below), whose sum is σ = 809269632. Its totient is φ = 67368320.

The previous prime is 252632389. The next prime is 252632407. The reversal of 252632400 is 4236252.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252632407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104064 + ... + 106463.

Almost surely, 2^252632400 is an apocalyptic number.

252632400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252632400 is an abundant number, since it is smaller than the sum of its proper divisors (556637232).

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

252632400 is a wasteful number, since it uses less digits than its factorization.

252632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210548 (or 210537 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 252632400 is about 15894.4141131405. The cubic root of 252632400 is about 632.1638868897.

Adding to 252632400 its reverse (4236252), we get a palindrome (256868652).

The spelling of 252632400 in words is "two hundred fifty-two million, six hundred thirty-two thousand, four hundred".