408020000 has 120 divisors (see below), whose sum is σ = 1048614336. Its totient is φ = 155936000.

The previous prime is 408019993. The next prime is 408020051. The reversal of 408020000 is 20804.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 459557 + ... + 460443.

Almost surely, 2^408020000 is an apocalyptic number.

408020000 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 408020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524307168).

408020000 is an abundant number, since it is smaller than the sum of its proper divisors (640594336).

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

408020000 is an equidigital number, since it uses as much as digits as its factorization.

408020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 408020000 is about 20199.5049444287. The cubic root of 408020000 is about 741.6980727068.

Adding to 408020000 its reverse (20804), we get a palindrome (408040804).

The spelling of 408020000 in words is "four hundred eight million, twenty thousand".