252857280 has 112 divisors (see below), whose sum is σ = 864620064. Its totient is φ = 62238720.

The previous prime is 252857251. The next prime is 252857281. The reversal of 252857280 is 82758252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252857281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2350 + ... + 22610.

It is an arithmetic number, because the mean of its divisors is an integer number (7719822).

Almost surely, 2^252857280 is an apocalyptic number.

252857280 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 252857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432310032).

252857280 is an abundant number, since it is smaller than the sum of its proper divisors (611762784).

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

252857280 is a wasteful number, since it uses less digits than its factorization.

252857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20294 (or 20284 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 252857280 is about 15901.4867229451. The cubic root of 252857280 is about 632.3514042131.

The spelling of 252857280 in words is "two hundred fifty-two million, eight hundred fifty-seven thousand, two hundred eighty".