408920876 has 108 divisors (see below), whose sum is σ = 931878864. Its totient is φ = 155615040.

The previous prime is 408920867. The next prime is 408920891. The reversal of 408920876 is 678029804.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2448545 + ... + 2448711.

It is an arithmetic number, because the mean of its divisors is an integer number (8628508).

Almost surely, 2^408920876 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 408920876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465939432).

408920876 is an abundant number, since it is smaller than the sum of its proper divisors (522957988).

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

408920876 is a wasteful number, since it uses less digits than its factorization.

408920876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 408920876 is about 20221.7921065369. The cubic root of 408920876 is about 742.2435417473.

The spelling of 408920876 in words is "four hundred eight million, nine hundred twenty thousand, eight hundred seventy-six".