252809280 has 168 divisors, whose sum is σ = 891183384. Its totient is φ = 65740800.

The previous prime is 252809273. The next prime is 252809339. The reversal of 252809280 is 82908252.

It can be written as a sum of positive squares in 4 ways, for example, as 25644096 + 227165184 = 5064^2 + 15072^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117010 + ... + 119150.

It is an arithmetic number, because the mean of its divisors is an integer number (5304663).

Almost surely, 2^252809280 is an apocalyptic number.

252809280 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 252809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445591692).

252809280 is an abundant number, since it is smaller than the sum of its proper divisors (638374104).

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

252809280 is a wasteful number, since it uses less digits than its factorization.

252809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 252809280 is about 15899.9773584744. The cubic root of 252809280 is about 632.3113885064.

The spelling of 252809280 in words is "two hundred fifty-two million, eight hundred nine thousand, two hundred eighty".