413433744 has 80 divisors (see below), whose sum is σ = 1169925120. Its totient is φ = 125224960.

The previous prime is 413433743. The next prime is 413433793. The reversal of 413433744 is 447334314.

It is not an unprimeable number, because it can be changed into a prime (413433743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14929 + ... + 32399.

It is an arithmetic number, because the mean of its divisors is an integer number (14624064).

Almost surely, 2^413433744 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 413433744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

413433744 is an abundant number, since it is smaller than the sum of its proper divisors (756491376).

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

413433744 is a wasteful number, since it uses less digits than its factorization.

413433744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17528 (or 17522 counting only the distinct ones).

The product of its digits is 48384, while the sum is 33.

The square root of 413433744 is about 20333.0702059477. The cubic root of 413433744 is about 744.9640353192.

The spelling of 413433744 in words is "four hundred thirteen million, four hundred thirty-three thousand, seven hundred forty-four".