413364304 has 40 divisors (see below), whose sum is σ = 856904480. Its totient is φ = 192585600.

The previous prime is 413364271. The next prime is 413364313. The reversal of 413364304 is 403463314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7399 + ... + 29689.

It is an arithmetic number, because the mean of its divisors is an integer number (21422612).

Almost surely, 2^413364304 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 413364304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428452240).

413364304 is an abundant number, since it is smaller than the sum of its proper divisors (443540176).

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

413364304 is a wasteful number, since it uses less digits than its factorization.

413364304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22379 (or 22373 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 413364304 is about 20331.3625711608. The cubic root of 413364304 is about 744.9223251300.

The spelling of 413364304 in words is "four hundred thirteen million, three hundred sixty-four thousand, three hundred four".