413808100 has 72 divisors (see below), whose sum is σ = 922440960. Its totient is φ = 161066880.

The previous prime is 413808097. The next prime is 413808113. The reversal of 413808100 is 1808314.

It is a super-2 number, since 2×413808100² = 342474287251220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 863661 + ... + 864139.

It is an arithmetic number, because the mean of its divisors is an integer number (12811680).

Almost surely, 2^413808100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413808100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461220480).

413808100 is an abundant number, since it is smaller than the sum of its proper divisors (508632860).

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

413808100 is a wasteful number, since it uses less digits than its factorization.

413808100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 413808100 is about 20342.2737175567. The cubic root of 413808100 is about 745.1888175073.

The spelling of 413808100 in words is "four hundred thirteen million, eight hundred eight thousand, one hundred".