252679500 has 240 divisors, whose sum is σ = 875242368. Its totient is φ = 63244800.

The previous prime is 252679459. The next prime is 252679513. The reversal of 252679500 is 5976252.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 688317 + ... + 688683.

Almost surely, 2^252679500 is an apocalyptic number.

252679500 is a gapful number since it is divisible by the number (20) 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 252679500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437621184).

252679500 is an abundant number, since it is smaller than the sum of its proper divisors (622562868).

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

252679500 is a wasteful number, since it uses less digits than its factorization.

252679500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 394 counting only the distinct ones).

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

The square root of 252679500 is about 15895.8956966885. The cubic root of 252679500 is about 632.2031706724.

The spelling of 252679500 in words is "two hundred fifty-two million, six hundred seventy-nine thousand, five hundred".