413327984 has 20 divisors (see below), whose sum is σ = 801816984. Its totient is φ = 206407488.

The previous prime is 413327951. The next prime is 413327989. The reversal of 413327984 is 489723314.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413327989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2387 + ... + 28850.

Almost surely, 2^413327984 is an apocalyptic number.

It is an amenable number.

413327984 is a deficient number, since it is larger than the sum of its proper divisors (388489000).

413327984 is a wasteful number, since it uses less digits than its factorization.

413327984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32072 (or 32066 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 413327984 is about 20330.4693502142. The cubic root of 413327984 is about 744.9005071105.

The spelling of 413327984 in words is "four hundred thirteen million, three hundred twenty-seven thousand, nine hundred eighty-four".