408000000 has 280 divisors, whose sum is σ = 1438575336. Its totient is φ = 102400000.

The previous prime is 407999987. The next prime is 408000001. The reversal of 408000000 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 self number, because there is not a number n which added to its sum of digits gives 408000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23999992 + ... + 24000008.

Almost surely, 2^408000000 is an apocalyptic number.

408000000 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 408000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719287668).

408000000 is an abundant number, since it is smaller than the sum of its proper divisors (1030575336).

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

408000000 is an frugal number, since it uses more digits than its factorization.

408000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 27 counting only the distinct ones).

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

The square root of 408000000 is about 20199.0098767242. The cubic root of 408000000 is about 741.6859538532.

Adding to 408000000 its reverse (804), we get a palindrome (408000804).

The spelling of 408000000 in words is "four hundred eight million", and thus it is an aban number.