252450816 has 96 divisors (see below), whose sum is σ = 712923120. Its totient is φ = 79167488.

The previous prime is 252450797. The next prime is 252450839. The reversal of 252450816 is 618054252.

252450816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103240 + ... + 105656.

Almost surely, 2^252450816 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 252450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356461560).

252450816 is an abundant number, since it is smaller than the sum of its proper divisors (460472304).

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

252450816 is a wasteful number, since it uses less digits than its factorization.

252450816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 252450816 is about 15888.7008908847. The cubic root of 252450816 is about 632.0123909337.

The spelling of 252450816 in words is "two hundred fifty-two million, four hundred fifty thousand, eight hundred sixteen".