252364416 has 64 divisors (see below), whose sum is σ = 672930720. Its totient is φ = 83796992.

The previous prime is 252364393. The next prime is 252364421. The reversal of 252364416 is 614463252.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 111391 + ... + 113633.

Almost surely, 2^252364416 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 252364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336465360).

252364416 is an abundant number, since it is smaller than the sum of its proper divisors (420566304).

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

252364416 is a wasteful number, since it uses less digits than its factorization.

252364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2541 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 252364416 is about 15885.9817449222. The cubic root of 252364416 is about 631.9402817045.

The spelling of 252364416 in words is "two hundred fifty-two million, three hundred sixty-four thousand, four hundred sixteen".