405800 has 24 divisors (see below), whose sum is σ = 943950. Its totient is φ = 162240.

The previous prime is 405799. The next prime is 405817. The reversal of 405800 is 8504.

It can be written as a sum of positive squares in 3 ways, for example, as 391876 + 13924 = 626^2 + 118^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 815 + ... + 1214.

2⁴⁰⁵⁸⁰⁰ is an apocalyptic number.

405800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405800 is an abundant number, since it is smaller than the sum of its proper divisors (538150).

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

405800 is a wasteful number, since it uses less digits than its factorization.

405800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 405800 is about 637.0243323453. The cubic root of 405800 is about 74.0350454894.

The spelling of 405800 in words is "four hundred five thousand, eight hundred".