252311334400 has 180 divisors, whose sum is σ = 664065653328. Its totient is φ = 94986403840.

The previous prime is 252311334397. The next prime is 252311334403. The reversal of 252311334400 is 4433113252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252311334397) and next prime (252311334403).

It is a super-2 number, since 2×252311334400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252311334403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3665097 + ... + 3733303.

Almost surely, 2^252311334400 is an apocalyptic number.

252311334400 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 252311334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332032826664).

252311334400 is an abundant number, since it is smaller than the sum of its proper divisors (411754318928).

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

252311334400 is an equidigital number, since it uses as much as digits as its factorization.

252311334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68269 (or 68231 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 252311334400 its reverse (4433113252), we get a palindrome (256744447652).

The spelling of 252311334400 in words is "two hundred fifty-two billion, three hundred eleven million, three hundred thirty-four thousand, four hundred".