413192304 has 180 divisors, whose sum is σ = 1389286080. Its totient is φ = 114186240.

The previous prime is 413192303. The next prime is 413192321. The reversal of 413192304 is 403291314.

413192304 is a `hidden beast` number, since 41 + 319 + 2 + 304 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413192303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 217792 + ... + 219680.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

Almost surely, 2^413192304 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 413192304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694643040).

413192304 is an abundant number, since it is smaller than the sum of its proper divisors (976093776).

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

413192304 is a wasteful number, since it uses less digits than its factorization.

413192304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 413192304 is about 20327.1322128824. The cubic root of 413192304 is about 744.8189906025.

The spelling of 413192304 in words is "four hundred thirteen million, one hundred ninety-two thousand, three hundred four".