252210400 has 72 divisors (see below), whose sum is σ = 663098184. Its totient is φ = 93120000.

The previous prime is 252210391. The next prime is 252210421. The reversal of 252210400 is 4012252.

It is a super-2 number, since 2×252210400² = 127220171736320000, which contains 22 as substring.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1726 + ... + 22525.

It is an arithmetic number, because the mean of its divisors is an integer number (9209697).

Almost surely, 2^252210400 is an apocalyptic number.

252210400 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 252210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331549092).

252210400 is an abundant number, since it is smaller than the sum of its proper divisors (410887784).

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

252210400 is a wasteful number, since it uses less digits than its factorization.

252210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24284 (or 24271 counting only the distinct ones).

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

The square root of 252210400 is about 15881.1334608081. The cubic root of 252210400 is about 631.8116994973.

Adding to 252210400 its reverse (4012252), we get a palindrome (256222652).

The spelling of 252210400 in words is "two hundred fifty-two million, two hundred ten thousand, four hundred".