413939412 has 72 divisors (see below), whose sum is σ = 1069384680. Its totient is φ = 134968320.

The previous prime is 413939399. The next prime is 413939413. The reversal of 413939412 is 214939314.

It can be written as a sum of positive squares in 4 ways, for example, as 8964036 + 404975376 = 2994^2 + 20124^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413939413) 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, 511264 + ... + 512072.

It is an arithmetic number, because the mean of its divisors is an integer number (14852565).

Almost surely, 2^413939412 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 413939412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534692340).

413939412 is an abundant number, since it is smaller than the sum of its proper divisors (655445268).

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

413939412 is a wasteful number, since it uses less digits than its factorization.

413939412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1108 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 413939412 is about 20345.5010260254. The cubic root of 413939412 is about 745.2676317253.

It can be divided in two parts, 41393 and 9412, that added together give a palindrome (50805).

The spelling of 413939412 in words is "four hundred thirteen million, nine hundred thirty-nine thousand, four hundred twelve".