252917440 has 56 divisors (see below), whose sum is σ = 604235520. Its totient is φ = 100835328.

The previous prime is 252917363. The next prime is 252917461. The reversal of 252917440 is 44719252.

It is a super-3 number, since 3×252917440³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 252917396 and 252917405.

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 7 ways as a sum of consecutive naturals, for example, 111841 + ... + 114079.

It is an arithmetic number, because the mean of its divisors is an integer number (10789920).

Almost surely, 2^252917440 is an apocalyptic number.

252917440 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 252917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302117760).

252917440 is an abundant number, since it is smaller than the sum of its proper divisors (351318080).

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

252917440 is a wasteful number, since it uses less digits than its factorization.

252917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 252917440 is about 15903.3782574647. The cubic root of 252917440 is about 632.4015500817.

The spelling of 252917440 in words is "two hundred fifty-two million, nine hundred seventeen thousand, four hundred forty".