413367408 has 80 divisors (see below), whose sum is σ = 1238135040. Its totient is φ = 131795136.

The previous prime is 413367403. The next prime is 413367413. The reversal of 413367408 is 804763314.

It is an interprime number because it is at equal distance from previous prime (413367403) and next prime (413367413).

It is a super-2 number, since 2×413367408² = 341745227993276928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413367403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10866 + ... + 30737.

It is an arithmetic number, because the mean of its divisors is an integer number (15476688).

Almost surely, 2^413367408 is an apocalyptic number.

413367408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

413367408 is an abundant number, since it is smaller than the sum of its proper divisors (824767632).

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

413367408 is a wasteful number, since it uses less digits than its factorization.

413367408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41643 (or 41631 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 413367408 is about 20331.4389062850. The cubic root of 413367408 is about 744.9241896944.

The spelling of 413367408 in words is "four hundred thirteen million, three hundred sixty-seven thousand, four hundred eight".