252765414 has 64 divisors (see below), whose sum is σ = 616412160. Its totient is φ = 76140000.

The previous prime is 252765407. The next prime is 252765419. The reversal of 252765414 is 414567252.

It is a happy number.

252765414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×252765414³ (a number of 26 digits) contains 333 as substring.

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 (252765419) 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, 106339 + ... + 108689.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2^252765414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252765414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206080).

252765414 is an abundant number, since it is smaller than the sum of its proper divisors (363646746).

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

252765414 is a wasteful number, since it uses less digits than its factorization.

252765414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2548 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 252765414 is about 15898.5978627047. The cubic root of 252765414 is about 632.2748147227.

The spelling of 252765414 in words is "two hundred fifty-two million, seven hundred sixty-five thousand, four hundred fourteen".