252312408 has 80 divisors (see below), whose sum is σ = 709200360. Its totient is φ = 83808000.

The previous prime is 252312397. The next prime is 252312449. The reversal of 252312408 is 804213252.

252312408 is a `hidden beast` number, since 25 + 231 + 2 + 408 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259363 + ... + 260333.

Almost surely, 2^252312408 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 252312408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354600180).

252312408 is an abundant number, since it is smaller than the sum of its proper divisors (456887952).

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

252312408 is a wasteful number, since it uses less digits than its factorization.

252312408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 252312408 is about 15884.3447456922. The cubic root of 252312408 is about 631.8968680190.

The spelling of 252312408 in words is "two hundred fifty-two million, three hundred twelve thousand, four hundred eight".