413390964 has 48 divisors (see below), whose sum is σ = 1109808000. Its totient is φ = 117315456.

The previous prime is 413390953. The next prime is 413390981. The reversal of 413390964 is 469093314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3999 + ... + 29030.

It is an arithmetic number, because the mean of its divisors is an integer number (23121000).

Almost surely, 2^413390964 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 413390964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554904000).

413390964 is an abundant number, since it is smaller than the sum of its proper divisors (696417036).

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

413390964 is a wasteful number, since it uses less digits than its factorization.

413390964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33192 (or 33190 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 413390964 is about 20332.0181979065. The cubic root of 413390964 is about 744.9383394158.

The spelling of 413390964 in words is "four hundred thirteen million, three hundred ninety thousand, nine hundred sixty-four".