413504416 has 48 divisors (see below), whose sum is σ = 880588800. Its totient is φ = 190003968.

The previous prime is 413504363. The next prime is 413504459. The reversal of 413504416 is 614405314.

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, 97345 + ... + 101503.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 2^413504416 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 413504416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

413504416 is an abundant number, since it is smaller than the sum of its proper divisors (467084384).

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

413504416 is a wasteful number, since it uses less digits than its factorization.

413504416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4421 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 413504416 is about 20334.8079902418. The cubic root of 413504416 is about 745.0064807328.

The spelling of 413504416 in words is "four hundred thirteen million, five hundred four thousand, four hundred sixteen".