413039382 has 64 divisors (see below), whose sum is σ = 992646144. Its totient is φ = 112020480.

The previous prime is 413039369. The next prime is 413039383. The reversal of 413039382 is 283930314.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413039383) 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, 130782 + ... + 133902.

It is an arithmetic number, because the mean of its divisors is an integer number (15510096).

Almost surely, 2^413039382 is an apocalyptic number.

413039382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 413039382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496323072).

413039382 is an abundant number, since it is smaller than the sum of its proper divisors (579606762).

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

413039382 is a wasteful number, since it uses less digits than its factorization.

413039382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 413039382 is about 20323.3703405710. The cubic root of 413039382 is about 744.7270937119.

Adding to 413039382 its reverse (283930314), we get a palindrome (696969696).

The spelling of 413039382 in words is "four hundred thirteen million, thirty-nine thousand, three hundred eighty-two".