252153792 has 168 divisors, whose sum is σ = 835194672. Its totient is φ = 71884800.

The previous prime is 252153773. The next prime is 252153793. The reversal of 252153792 is 297351252.

252153792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252153793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106542 + ... + 108882.

Almost surely, 2^252153792 is an apocalyptic number.

252153792 is a gapful number since it is divisible by the number (22) 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 252153792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417597336).

252153792 is an abundant number, since it is smaller than the sum of its proper divisors (583040880).

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

252153792 is a wasteful number, since it uses less digits than its factorization.

252153792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2374 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 252153792 is about 15879.3511202442. The cubic root of 252153792 is about 631.7644264363.

The spelling of 252153792 in words is "two hundred fifty-two million, one hundred fifty-three thousand, seven hundred ninety-two".