408000 has 112 divisors (see below), whose sum is σ = 1426464. Its totient is φ = 102400.

The previous prime is 407993. The next prime is 408011. The reversal of 408000 is 804.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

408000 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 15 ways as a sum of consecutive naturals, for example, 23992 + ... + 24008.

2⁴⁰⁸⁰⁰⁰ is an apocalyptic number.

408000 is a gapful number since it is divisible by the number (40) 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 408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713232).

408000 is an abundant number, since it is smaller than the sum of its proper divisors (1018464).

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

408000 is a wasteful number, since it uses less digits than its factorization.

408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 408000 is about 638.7487769069. The cubic root of 408000 is about 74.1685953853.

Adding to 408000 its reverse (804), we get a palindrome (408804).

The spelling of 408000 in words is "four hundred eight thousand".