252593280 has 96 divisors (see below), whose sum is σ = 872256060. Its totient is φ = 67356672.

The previous prime is 252593279. The next prime is 252593281. The reversal of 252593280 is 82395252.

It is an interprime number because it is at equal distance from previous prime (252593279) and next prime (252593281).

It can be written as a sum of positive squares in 2 ways, for example, as 233722944 + 18870336 = 15288^2 + 4344^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (252593281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16167 + ... + 27686.

Almost surely, 2^252593280 is an apocalyptic number.

252593280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252593280 is an abundant number, since it is smaller than the sum of its proper divisors (619662780).

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

252593280 is a wasteful number, since it uses less digits than its factorization.

252593280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43878 (or 43863 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 252593280 is about 15893.1834444834. The cubic root of 252593280 is about 632.1312551187.

The spelling of 252593280 in words is "two hundred fifty-two million, five hundred ninety-three thousand, two hundred eighty".