408100 has 72 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 124800.

The previous prime is 408091. The next prime is 408127. The reversal of 408100 is 1804.

It is a super-2 number, since 2×408100² = 333091220000, which contains 22 as substring.

It is an Ulam number.

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, 7674 + ... + 7726.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2⁴⁰⁸¹⁰⁰ 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 408100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

408100 is an abundant number, since it is smaller than the sum of its proper divisors (716828).

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

408100 is a wasteful number, since it uses less digits than its factorization.

408100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 408100 is about 638.8270501474. The cubic root of 408100 is about 74.1746544161.

Adding to 408100 its reverse (1804), we get a palindrome (409904).

The spelling of 408100 in words is "four hundred eight thousand, one hundred".