252502440 has 128 divisors (see below), whose sum is σ = 790732800. Its totient is φ = 64431360.

The previous prime is 252502433. The next prime is 252502447. The reversal of 252502440 is 44205252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252502433) and next prime (252502447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 252502440.

It is not an unprimeable number, because it can be changed into a prime (252502447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 382831 + ... + 383489.

It is an arithmetic number, because the mean of its divisors is an integer number (6177600).

Almost surely, 2^252502440 is an apocalyptic number.

252502440 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 252502440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395366400).

252502440 is an abundant number, since it is smaller than the sum of its proper divisors (538230360).

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

252502440 is a wasteful number, since it uses less digits than its factorization.

252502440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 252502440 is about 15890.3253585318. The cubic root of 252502440 is about 632.0554683464.

Adding to 252502440 its reverse (44205252), we get a palindrome (296707692).

The spelling of 252502440 in words is "two hundred fifty-two million, five hundred two thousand, four hundred forty".