252459240 has 96 divisors (see below), whose sum is σ = 832537440. Its totient is φ = 61198720.

The previous prime is 252459217. The next prime is 252459253. The reversal of 252459240 is 42954252.

It is a super-2 number, since 2×252459240² = 127471335722755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5827 + ... + 23213.

It is an arithmetic number, because the mean of its divisors is an integer number (8672265).

Almost surely, 2^252459240 is an apocalyptic number.

252459240 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 252459240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416268720).

252459240 is an abundant number, since it is smaller than the sum of its proper divisors (580078200).

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

252459240 is a wasteful number, since it uses less digits than its factorization.

252459240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423 (or 17408 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 252459240 is about 15888.9659827190. The cubic root of 252459240 is about 632.0194207032.

The spelling of 252459240 in words is "two hundred fifty-two million, four hundred fifty-nine thousand, two hundred forty".