252130400 has 72 divisors (see below), whose sum is σ = 651755160. Its totient is φ = 94914560.

The previous prime is 252130397. The next prime is 252130427. The reversal of 252130400 is 4031252.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 4331 + ... + 22869.

It is an arithmetic number, because the mean of its divisors is an integer number (9052155).

Almost surely, 2^252130400 is an apocalyptic number.

252130400 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 252130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325877580).

252130400 is an abundant number, since it is smaller than the sum of its proper divisors (399624760).

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

252130400 is a wasteful number, since it uses less digits than its factorization.

252130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18576 (or 18563 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 252130400 is about 15878.6145491349. The cubic root of 252130400 is about 631.7448898269.

Adding to 252130400 its reverse (4031252), we get a palindrome (256161652).

The spelling of 252130400 in words is "two hundred fifty-two million, one hundred thirty thousand, four hundred".