413015344 has 80 divisors (see below), whose sum is σ = 942796800. Its totient is φ = 171601920.

The previous prime is 413015333. The next prime is 413015363. The reversal of 413015344 is 443510314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919632 + ... + 920080.

It is an arithmetic number, because the mean of its divisors is an integer number (11784960).

Almost surely, 2^413015344 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 413015344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471398400).

413015344 is an abundant number, since it is smaller than the sum of its proper divisors (529781456).

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

413015344 is a wasteful number, since it uses less digits than its factorization.

413015344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 413015344 is about 20322.7789438354. The cubic root of 413015344 is about 744.7126462621.

Adding to 413015344 its reverse (443510314), we get a palindrome (856525658).

The spelling of 413015344 in words is "four hundred thirteen million, fifteen thousand, three hundred forty-four".