252046400 has 84 divisors (see below), whose sum is σ = 652912080. Its totient is φ = 95500800.

The previous prime is 252046373. The next prime is 252046427. The reversal of 252046400 is 4640252.

It is an interprime number because it is at equal distance from previous prime (252046373) and next prime (252046427).

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, 26255 + ... + 34545.

Almost surely, 2^252046400 is an apocalyptic number.

252046400 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 252046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326456040).

252046400 is an abundant number, since it is smaller than the sum of its proper divisors (400865680).

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

252046400 is a wasteful number, since it uses less digits than its factorization.

252046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8332 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 252046400 is about 15875.9692617490. The cubic root of 252046400 is about 631.6747244613.

Adding to 252046400 its reverse (4640252), we get a palindrome (256686652).

The spelling of 252046400 in words is "two hundred fifty-two million, forty-six thousand, four hundred".