252107416 has 96 divisors (see below), whose sum is σ = 572935680. Its totient is φ = 102924800.

The previous prime is 252107369. The next prime is 252107417. The reversal of 252107416 is 614701252.

252107416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252107417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584721 + ... + 585151.

It is an arithmetic number, because the mean of its divisors is an integer number (5968080).

Almost surely, 2^252107416 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 252107416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286467840).

252107416 is an abundant number, since it is smaller than the sum of its proper divisors (320828264).

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

252107416 is a wasteful number, since it uses less digits than its factorization.

252107416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 252107416 is about 15877.8907919157. The cubic root of 252107416 is about 631.7256927953.

Adding to 252107416 its reverse (614701252), we get a palindrome (866808668).

The spelling of 252107416 in words is "two hundred fifty-two million, one hundred seven thousand, four hundred sixteen".