252224928400 has 45 divisors (see below), whose sum is σ = 605994523113. Its totient is φ = 100885953600.

The previous prime is 252224928383. The next prime is 252224928401. The reversal of 252224928400 is 4829422252.

The square root of 252224928400 is 502220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 90800974224 + 161423954176 = 301332^2 + 401776^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252224928401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10031845 + ... + 10056955.

Almost surely, 2^252224928400 is an apocalyptic number.

252224928400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

252224928400 is the 502220-th square number.

It is an amenable number.

252224928400 is an abundant number, since it is smaller than the sum of its proper divisors (353769594713).

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

252224928400 is an frugal number, since it uses more digits than its factorization.

252224928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50240 (or 25118 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 252224928400 in words is "two hundred fifty-two billion, two hundred twenty-four million, nine hundred twenty-eight thousand, four hundred".