252258408 has 128 divisors (see below), whose sum is σ = 732441600. Its totient is φ = 80352000.

The previous prime is 252258397. The next prime is 252258431. The reversal of 252258408 is 804852252.

252258408 is a `hidden beast` number, since 25 + 225 + 8 + 408 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676110 + ... + 676482.

It is an arithmetic number, because the mean of its divisors is an integer number (5722200).

Almost surely, 2^252258408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252258408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366220800).

252258408 is an abundant number, since it is smaller than the sum of its proper divisors (480183192).

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

252258408 is a wasteful number, since it uses less digits than its factorization.

252258408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 252258408 is about 15882.6448679053. The cubic root of 252258408 is about 631.8517851979.

It can be divided in two parts, 25225 and 8408, that added together give a palindrome (33633).

The spelling of 252258408 in words is "two hundred fifty-two million, two hundred fifty-eight thousand, four hundred eight".