413412432 has 80 divisors (see below), whose sum is σ = 1092311040. Its totient is φ = 134701056.

The previous prime is 413412427. The next prime is 413412457. The reversal of 413412432 is 234214314.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444544 + ... + 445472.

It is an arithmetic number, because the mean of its divisors is an integer number (13653888).

Almost surely, 2^413412432 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 413412432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546155520).

413412432 is an abundant number, since it is smaller than the sum of its proper divisors (678898608).

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

413412432 is a wasteful number, since it uses less digits than its factorization.

413412432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1134 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 413412432 is about 20332.5461268381. The cubic root of 413412432 is about 744.9512344400.

Adding to 413412432 its reverse (234214314), we get a palindrome (647626746).

The spelling of 413412432 in words is "four hundred thirteen million, four hundred twelve thousand, four hundred thirty-two".