252588000 has 384 divisors, whose sum is σ = 986259456. Its totient is φ = 55296000.

The previous prime is 252587987. The next prime is 252588019. The reversal of 252588000 is 885252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2603952 + ... + 2604048.

It is an arithmetic number, because the mean of its divisors is an integer number (2568384).

Almost surely, 2^252588000 is an apocalyptic number.

252588000 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 252588000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493129728).

252588000 is an abundant number, since it is smaller than the sum of its proper divisors (733671456).

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

252588000 is a wasteful number, since it uses less digits than its factorization.

252588000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 252588000 is about 15893.0173346662. The cubic root of 252588000 is about 632.1268505726.

It can be divided in two parts, 2525 and 88000, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 252588000 in words is "two hundred fifty-two million, five hundred eighty-eight thousand".