252029376 has 84 divisors (see below), whose sum is σ = 760450600. Its totient is φ = 79584768.

The previous prime is 252029359. The next prime is 252029381. The reversal of 252029376 is 673920252.

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

It is a self number, because there is not a number n which added to its sum of digits gives 252029376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571 + ... + 22458.

Almost surely, 2^252029376 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 252029376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380225300).

252029376 is an abundant number, since it is smaller than the sum of its proper divisors (508421224).

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

252029376 is a wasteful number, since it uses less digits than its factorization.

252029376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23066 (or 23053 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 252029376 is about 15875.4330964544. The cubic root of 252029376 is about 631.6605023807.

It can be divided in two parts, 252029 and 376, that added together give a triangular number (252405 = T₇₁₀).

The spelling of 252029376 in words is "two hundred fifty-two million, twenty-nine thousand, three hundred seventy-six".