413051808 has 144 divisors (see below), whose sum is σ = 1202130720. Its totient is φ = 123443712.

The previous prime is 413051791. The next prime is 413051809. The reversal of 413051808 is 808150314.

It is a super-2 number, since 2×413051808² = 341223592184137728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413051809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2307463 + ... + 2307641.

It is an arithmetic number, because the mean of its divisors is an integer number (8348130).

Almost surely, 2^413051808 is an apocalyptic number.

413051808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413051808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601065360).

413051808 is an abundant number, since it is smaller than the sum of its proper divisors (789078912).

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

413051808 is a wasteful number, since it uses less digits than its factorization.

413051808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 413051808 is about 20323.6760454402. The cubic root of 413051808 is about 744.7345618344.

The spelling of 413051808 in words is "four hundred thirteen million, fifty-one thousand, eight hundred eight".