413865252 has 72 divisors (see below), whose sum is σ = 1083962880. Its totient is φ = 133004160.

The previous prime is 413865247. The next prime is 413865253. The reversal of 413865252 is 252568314.

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

It is not an unprimeable number, because it can be changed into a prime (413865253) 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, 400128 + ... + 401160.

It is an arithmetic number, because the mean of its divisors is an integer number (15055040).

Almost surely, 2^413865252 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 413865252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541981440).

413865252 is an abundant number, since it is smaller than the sum of its proper divisors (670097628).

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

413865252 is a wasteful number, since it uses less digits than its factorization.

413865252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1428 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 413865252 is about 20343.6784284455. The cubic root of 413865252 is about 745.2231225155.

The spelling of 413865252 in words is "four hundred thirteen million, eight hundred sixty-five thousand, two hundred fifty-two".