413328820 has 24 divisors (see below), whose sum is σ = 919049544. Its totient is φ = 155606016.

The previous prime is 413328781. The next prime is 413328911. The reversal of 413328820 is 28823314.

It can be written as a sum of positive squares in 4 ways, for example, as 42458256 + 370870564 = 6516^2 + 19258^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 607497 + ... + 608176.

It is an arithmetic number, because the mean of its divisors is an integer number (38293731).

Almost surely, 2^413328820 is an apocalyptic number.

It is an amenable number.

413328820 is an abundant number, since it is smaller than the sum of its proper divisors (505720724).

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

413328820 is a wasteful number, since it uses less digits than its factorization.

413328820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215699 (or 1215697 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 413328820 is about 20330.4899104768. The cubic root of 413328820 is about 744.9010093238.

The spelling of 413328820 in words is "four hundred thirteen million, three hundred twenty-eight thousand, eight hundred twenty".