252398592 has 220 divisors, whose sum is σ = 802505880. Its totient is φ = 78741504.

The previous prime is 252398591. The next prime is 252398611. The reversal of 252398592 is 295893252.

252398592 is a `hidden beast` number, since 2 + 52 + 3 + 9 + 8 + 592 = 666.

252398592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252398591) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1409959 + ... + 1410137.

It is an arithmetic number, because the mean of its divisors is an integer number (3647754).

Almost surely, 2^252398592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252398592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401252940).

252398592 is an abundant number, since it is smaller than the sum of its proper divisors (550107288).

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

252398592 is a wasteful number, since it uses less digits than its factorization.

252398592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 201 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 252398592 is about 15887.0573738499. The cubic root of 252398592 is about 631.9688068779.

The spelling of 252398592 in words is "two hundred fifty-two million, three hundred ninety-eight thousand, five hundred ninety-two".