413384408 has 32 divisors (see below), whose sum is σ = 784080000. Its totient is φ = 204311040.

The previous prime is 413384401. The next prime is 413384429. The reversal of 413384408 is 804483314.

It is a super-3 number, since 3×413384408³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413384401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286553 + ... + 287991.

It is an arithmetic number, because the mean of its divisors is an integer number (24502500).

Almost surely, 2^413384408 is an apocalyptic number.

It is an amenable number.

413384408 is a deficient number, since it is larger than the sum of its proper divisors (370695592).

413384408 is a wasteful number, since it uses less digits than its factorization.

413384408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 413384408 is about 20331.8569737248. The cubic root of 413384408 is about 744.9344013829.

The spelling of 413384408 in words is "four hundred thirteen million, three hundred eighty-four thousand, four hundred eight".