413337384 has 64 divisors (see below), whose sum is σ = 1185216000. Its totient is φ = 133332480.

The previous prime is 413337383. The next prime is 413337391. The reversal of 413337384 is 483733314.

It is a super-3 number, since 3×413337384³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (413337383) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24169 + ... + 37560.

It is an arithmetic number, because the mean of its divisors is an integer number (18519000).

Almost surely, 2^413337384 is an apocalyptic number.

It is an amenable number.

413337384 is an abundant number, since it is smaller than the sum of its proper divisors (771878616).

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

413337384 is a wasteful number, since it uses less digits than its factorization.

413337384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61775 (or 61765 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 413337384 is about 20330.7005290029. The cubic root of 413337384 is about 744.9061539672.

The spelling of 413337384 in words is "four hundred thirteen million, three hundred thirty-seven thousand, three hundred eighty-four".