252098304 has 72 divisors (see below), whose sum is σ = 710453520. Its totient is φ = 79085568.

The previous prime is 252098281. The next prime is 252098309. The reversal of 252098304 is 403890252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252098309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3402 + ... + 22710.

It is an arithmetic number, because the mean of its divisors is an integer number (9867410).

Almost surely, 2^252098304 is an apocalyptic number.

252098304 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 252098304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355226760).

252098304 is an abundant number, since it is smaller than the sum of its proper divisors (458355216).

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

252098304 is a wasteful number, since it uses less digits than its factorization.

252098304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19345 (or 19331 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 252098304 is about 15877.6038494478. The cubic root of 252098304 is about 631.7180818148.

The spelling of 252098304 in words is "two hundred fifty-two million, ninety-eight thousand, three hundred four".