252071904 has 192 divisors, whose sum is σ = 808206336. Its totient is φ = 67229184.

The previous prime is 252071851. The next prime is 252071909. The reversal of 252071904 is 409170252.

252071904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252071909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726259 + ... + 726605.

It is an arithmetic number, because the mean of its divisors is an integer number (4209408).

Almost surely, 2^252071904 is an apocalyptic number.

252071904 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 252071904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404103168).

252071904 is an abundant number, since it is smaller than the sum of its proper divisors (556134432).

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

252071904 is a wasteful number, since it uses less digits than its factorization.

252071904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 252071904 is about 15876.7724679798. The cubic root of 252071904 is about 631.6960296506.

The spelling of 252071904 in words is "two hundred fifty-two million, seventy-one thousand, nine hundred four".