252717504 has 112 divisors (see below), whose sum is σ = 727813632. Its totient is φ = 76925952.

The previous prime is 252717497. The next prime is 252717539. The reversal of 252717504 is 405717252.

It is a super-2 number, since 2×252717504² = 127732273655980032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256597 + ... + 257579.

It is an arithmetic number, because the mean of its divisors is an integer number (6498336).

Almost surely, 2^252717504 is an apocalyptic number.

252717504 is a gapful number since it is divisible by the number (24) 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 252717504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363906816).

252717504 is an abundant number, since it is smaller than the sum of its proper divisors (475096128).

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

252717504 is a wasteful number, since it uses less digits than its factorization.

252717504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 252717504 is about 15897.0910546553. The cubic root of 252717504 is about 632.2348643724.

The spelling of 252717504 in words is "two hundred fifty-two million, seven hundred seventeen thousand, five hundred four".