406808880 has 80 divisors (see below), whose sum is σ = 1268966400. Its totient is φ = 107806464.

The previous prime is 406808873. The next prime is 406808891. The reversal of 406808880 is 88808604.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33921 + ... + 44319.

It is an arithmetic number, because the mean of its divisors is an integer number (15862080).

Almost surely, 2^406808880 is an apocalyptic number.

406808880 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 406808880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634483200).

406808880 is an abundant number, since it is smaller than the sum of its proper divisors (862157520).

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

406808880 is a wasteful number, since it uses less digits than its factorization.

406808880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10578 (or 10572 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 406808880 is about 20169.5037122880. The cubic root of 406808880 is about 740.9634881050.

The spelling of 406808880 in words is "four hundred six million, eight hundred eight thousand, eight hundred eighty".