252059472 has 320 divisors, whose sum is σ = 899942400. Its totient is φ = 65940480.

The previous prime is 252059389. The next prime is 252059473. The reversal of 252059472 is 274950252.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252059473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2355643 + ... + 2355749.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^252059472 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 252059472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449971200).

252059472 is an abundant number, since it is smaller than the sum of its proper divisors (647882928).

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

252059472 is a wasteful number, since it uses less digits than its factorization.

252059472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 252059472 is about 15876.3809478105. The cubic root of 252059472 is about 631.6856445528.

The spelling of 252059472 in words is "two hundred fifty-two million, fifty-nine thousand, four hundred seventy-two".