413005344 has 96 divisors (see below), whose sum is σ = 1162123200. Its totient is φ = 127967232.

The previous prime is 413005331. The next prime is 413005349. The reversal of 413005344 is 443500314.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (413005349) 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, 133932 + ... + 136980.

It is an arithmetic number, because the mean of its divisors is an integer number (12105450).

Almost surely, 2^413005344 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 413005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581061600).

413005344 is an abundant number, since it is smaller than the sum of its proper divisors (749117856).

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

413005344 is a wasteful number, since it uses less digits than its factorization.

413005344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 413005344 is about 20322.5329130008. The cubic root of 413005344 is about 744.7066358425.

Adding to 413005344 its reverse (443500314), we get a palindrome (856505658).

The spelling of 413005344 in words is "four hundred thirteen million, five thousand, three hundred forty-four".