413319504 has 160 divisors (see below), whose sum is σ = 1244920320. Its totient is φ = 117006336.

The previous prime is 413319463. The next prime is 413319539. The reversal of 413319504 is 405913314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498162 + ... + 498990.

It is an arithmetic number, because the mean of its divisors is an integer number (7780752).

Almost surely, 2^413319504 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 413319504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622460160).

413319504 is an abundant number, since it is smaller than the sum of its proper divisors (831600816).

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

413319504 is a wasteful number, since it uses less digits than its factorization.

413319504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 413319504 is about 20330.2607951792. The cubic root of 413319504 is about 744.8954128515.

The spelling of 413319504 in words is "four hundred thirteen million, three hundred nineteen thousand, five hundred four".