408400 has 30 divisors (see below), whose sum is σ = 982142. Its totient is φ = 163200.

The previous prime is 408389. The next prime is 408403. The reversal of 408400 is 4804.

It can be written as a sum of positive squares in 3 ways, for example, as 33856 + 374544 = 184^2 + 612^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408403) by changing a digit.

408400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111 + ... + 910.

2⁴⁰⁸⁴⁰⁰ is an apocalyptic number.

408400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408400 is an abundant number, since it is smaller than the sum of its proper divisors (573742).

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

408400 is a wasteful number, since it uses less digits than its factorization.

408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 408400 is about 639.0618123468. The cubic root of 408400 is about 74.1928255718.

It can be divided in two parts, 408 and 400, that added together give a palindrome (808).

The spelling of 408400 in words is "four hundred eight thousand, four hundred".