252514230400 has 96 divisors (see below), whose sum is σ = 637061546880. Its totient is φ = 98856576000.

The previous prime is 252514230389. The next prime is 252514230421. The reversal of 252514230400 is 4032415252.

252514230400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689076 + ... + 989875.

It is an arithmetic number, because the mean of its divisors is an integer number (6636057780).

Almost surely, 2^252514230400 is an apocalyptic number.

252514230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252514230400 is an abundant number, since it is smaller than the sum of its proper divisors (384547316480).

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

252514230400 is a wasteful number, since it uses less digits than its factorization.

252514230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679022 (or 1679005 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 252514230400 its reverse (4032415252), we get a palindrome (256546645652).

The spelling of 252514230400 in words is "two hundred fifty-two billion, five hundred fourteen million, two hundred thirty thousand, four hundred".