252578304 has 240 divisors, whose sum is σ = 827238720. Its totient is φ = 76032000.

The previous prime is 252578281. The next prime is 252578353. The reversal of 252578304 is 403875252.

252578304 is a `hidden beast` number, since 2 + 52 + 578 + 30 + 4 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672629 + ... + 1672779.

It is an arithmetic number, because the mean of its divisors is an integer number (3446828).

Almost surely, 2^252578304 is an apocalyptic number.

252578304 is a gapful number since it is divisible by the number (24) 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 252578304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413619360).

252578304 is an abundant number, since it is smaller than the sum of its proper divisors (574660416).

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

252578304 is a wasteful number, since it uses less digits than its factorization.

252578304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 252578304 is about 15892.7122921168. The cubic root of 252578304 is about 632.1187620643.

The spelling of 252578304 in words is "two hundred fifty-two million, five hundred seventy-eight thousand, three hundred four".