252314300 has 144 divisors (see below), whose sum is σ = 671623680. Its totient is φ = 80352000.

The previous prime is 252314299. The next prime is 252314303. The reversal of 252314300 is 3413252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252314303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811145 + ... + 811455.

Almost surely, 2^252314300 is an apocalyptic number.

252314300 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 252314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335811840).

252314300 is an abundant number, since it is smaller than the sum of its proper divisors (419309380).

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

252314300 is a wasteful number, since it uses less digits than its factorization.

252314300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 252314300 is about 15884.4043010747. The cubic root of 252314300 is about 631.8984474708.

Adding to 252314300 its reverse (3413252), we get a palindrome (255727552).

The spelling of 252314300 in words is "two hundred fifty-two million, three hundred fourteen thousand, three hundred".