252272880 has 240 divisors, whose sum is σ = 926190720. Its totient is φ = 63638784.

The previous prime is 252272863. The next prime is 252272887. The reversal of 252272880 is 88272252.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252272887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369019 + ... + 369701.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2^252272880 is an apocalyptic number.

252272880 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 252272880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463095360).

252272880 is an abundant number, since it is smaller than the sum of its proper divisors (673917840).

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

252272880 is a wasteful number, since it uses less digits than its factorization.

252272880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 252272880 is about 15883.1004529972. The cubic root of 252272880 is about 631.8638680250.

The spelling of 252272880 in words is "two hundred fifty-two million, two hundred seventy-two thousand, eight hundred eighty".