406083880 has 128 divisors (see below), whose sum is σ = 992839680. Its totient is φ = 149160960.

The previous prime is 406083877. The next prime is 406083983. The reversal of 406083880 is 88380604.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2431557 + ... + 2431723.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 2^406083880 is an apocalyptic number.

406083880 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 406083880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496419840).

406083880 is an abundant number, since it is smaller than the sum of its proper divisors (586755800).

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

406083880 is a wasteful number, since it uses less digits than its factorization.

406083880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 406083880 is about 20151.5230193651. The cubic root of 406083880 is about 740.5230536267.

The spelling of 406083880 in words is "four hundred six million, eighty-three thousand, eight hundred eighty".