252047376 has 225 divisors, whose sum is σ = 854503871. Its totient is φ = 72013536.

The previous prime is 252047359. The next prime is 252047399. The reversal of 252047376 is 673740252.

It is a happy number.

The square root of 252047376 is 15876.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 252047376.

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 44 ways as a sum of consecutive naturals, for example, 36006765 + ... + 36006771.

Almost surely, 2^252047376 is an apocalyptic number.

252047376 is the 15876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252047376

252047376 is an abundant number, since it is smaller than the sum of its proper divisors (602456495).

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

252047376 is an frugal number, since it uses more digits than its factorization.

252047376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The cubic root of 252047376 is about 631.6755398055.

Multiplying 252047376 by its sum of digits (36), we get a square (9073705536 = 95256²).

252047376 divided by its sum of digits (36) gives a square (7001316 = 2646²).

The spelling of 252047376 in words is "two hundred fifty-two million, forty-seven thousand, three hundred seventy-six".