252314304 has 112 divisors (see below), whose sum is σ = 733226880. Its totient is φ = 75939840.

The previous prime is 252314303. The next prime is 252314311. The reversal of 252314304 is 403413252.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 407307 + ... + 407925.

Almost surely, 2^252314304 is an apocalyptic number.

252314304 is a gapful number since it is divisible by the number (24) 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 252314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366613440).

252314304 is an abundant number, since it is smaller than the sum of its proper divisors (480912576).

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

252314304 is a wasteful number, since it uses less digits than its factorization.

252314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 252314304 is about 15884.4044269843. The cubic root of 252314304 is about 631.8984508100.

Adding to 252314304 its reverse (403413252), we get a palindrome (655727556).

The spelling of 252314304 in words is "two hundred fifty-two million, three hundred fourteen thousand, three hundred four".