408205980 has 432 divisors, whose sum is σ = 1611477504. Its totient is φ = 84913920.

The previous prime is 408205979. The next prime is 408205991. The reversal of 408205980 is 89502804.

408205980 is a `hidden beast` number, since 40 + 8 + 20 + 598 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5749345 + ... + 5749415.

It is an arithmetic number, because the mean of its divisors is an integer number (3730272).

Almost surely, 2^408205980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408205980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805738752).

408205980 is an abundant number, since it is smaller than the sum of its proper divisors (1203271524).

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

408205980 is a wasteful number, since it uses less digits than its factorization.

408205980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 408205980 is about 20204.1079981275. The cubic root of 408205980 is about 741.8107469666.

The spelling of 408205980 in words is "four hundred eight million, two hundred five thousand, nine hundred eighty".