252936000 has 224 divisors, whose sum is σ = 928786560. Its totient is φ = 67392000.

The previous prime is 252935971. The next prime is 252936067. The reversal of 252936000 is 639252.

252936000 is a `hidden beast` number, since 2 + 52 + 9 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215415 + ... + 216585.

Almost surely, 2^252936000 is an apocalyptic number.

252936000 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 252936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464393280).

252936000 is an abundant number, since it is smaller than the sum of its proper divisors (675850560).

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

252936000 is a wasteful number, since it uses less digits than its factorization.

252936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 252936000 is about 15903.9617705778. The cubic root of 252936000 is about 632.4170190106.

The spelling of 252936000 in words is "two hundred fifty-two million, nine hundred thirty-six thousand".