252270720 has 256 divisors, whose sum is σ = 963043200. Its totient is φ = 62042112.

The previous prime is 252270719. The next prime is 252270727. The reversal of 252270720 is 27072252.

It is a happy number.

252270720 is a `hidden beast` number, since 2 + 522 + 70 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (252270727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224079 + ... + 225201.

Almost surely, 2^252270720 is an apocalyptic number.

252270720 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 252270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481521600).

252270720 is an abundant number, since it is smaller than the sum of its proper divisors (710772480).

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

252270720 is a wasteful number, since it uses less digits than its factorization.

252270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 252270720 is about 15883.0324560520. The cubic root of 252270720 is about 631.8620646473.

The spelling of 252270720 in words is "two hundred fifty-two million, two hundred seventy thousand, seven hundred twenty".