413340252 has 72 divisors (see below), whose sum is σ = 1064108304. Its totient is φ = 124137216.

The previous prime is 413340241. The next prime is 413340271. The reversal of 413340252 is 252043314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287728 + ... + 289160.

It is an arithmetic number, because the mean of its divisors is an integer number (14779282).

Almost surely, 2^413340252 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 413340252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532054152).

413340252 is an abundant number, since it is smaller than the sum of its proper divisors (650768052).

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

413340252 is a wasteful number, since it uses less digits than its factorization.

413340252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 413340252 is about 20330.7710626036. The cubic root of 413340252 is about 744.9078768422.

Adding to 413340252 its reverse (252043314), we get a palindrome (665383566).

The spelling of 413340252 in words is "four hundred thirteen million, three hundred forty thousand, two hundred fifty-two".