413303124 has 144 divisors (see below), whose sum is σ = 1129101120. Its totient is φ = 116881920.

The previous prime is 413303119. The next prime is 413303147. The reversal of 413303124 is 421303314.

It is a self number, because there is not a number n which added to its sum of digits gives 413303124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2308867 + ... + 2309045.

It is an arithmetic number, because the mean of its divisors is an integer number (7840980).

Almost surely, 2^413303124 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 413303124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564550560).

413303124 is an abundant number, since it is smaller than the sum of its proper divisors (715797996).

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

413303124 is a wasteful number, since it uses less digits than its factorization.

413303124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 413303124 is about 20329.8579434289. The cubic root of 413303124 is about 744.8855725641.

Adding to 413303124 its reverse (421303314), we get a palindrome (834606438).

The spelling of 413303124 in words is "four hundred thirteen million, three hundred three thousand, one hundred twenty-four".