252824970 has 96 divisors (see below), whose sum is σ = 645019200. Its totient is φ = 63407872.

The previous prime is 252824953. The next prime is 252824977. The reversal of 252824970 is 79428252.

252824970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252824977) 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, 1412341 + ... + 1412519.

It is an arithmetic number, because the mean of its divisors is an integer number (6718950).

Almost surely, 2^252824970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252824970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322509600).

252824970 is an abundant number, since it is smaller than the sum of its proper divisors (392194230).

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

252824970 is a wasteful number, since it uses less digits than its factorization.

252824970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 252824970 is about 15900.4707477483. The cubic root of 252824970 is about 632.3244691977.

The spelling of 252824970 in words is "two hundred fifty-two million, eight hundred twenty-four thousand, nine hundred seventy".