408080000 has 80 divisors (see below), whose sum is σ = 1016088810. Its totient is φ = 163200000.

The previous prime is 408079999. The next prime is 408080003. The reversal of 408080000 is 80804.

It can be written as a sum of positive squares in 5 ways, for example, as 29855296 + 378224704 = 5464^2 + 19448^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (408080003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77450 + ... + 82550.

Almost surely, 2^408080000 is an apocalyptic number.

408080000 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 408080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508044405).

408080000 is an abundant number, since it is smaller than the sum of its proper divisors (608008810).

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

408080000 is an frugal number, since it uses more digits than its factorization.

408080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 408080000 is about 20200.9900747463. The cubic root of 408080000 is about 741.7344268913.

The spelling of 408080000 in words is "four hundred eight million, eighty thousand".