408219840 has 168 divisors, whose sum is σ = 1604772000. Its totient is φ = 93302784.

The previous prime is 408219829. The next prime is 408219857. The reversal of 408219840 is 48912804.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 408219795 and 408219804.

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 23 ways as a sum of consecutive naturals, for example, 10036 + ... + 30284.

Almost surely, 2^408219840 is an apocalyptic number.

408219840 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 408219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802386000).

408219840 is an abundant number, since it is smaller than the sum of its proper divisors (1196552160).

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

408219840 is a wasteful number, since it uses less digits than its factorization.

408219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20279 (or 20266 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 408219840 is about 20204.4509947685. The cubic root of 408219840 is about 741.8191425488.

The spelling of 408219840 in words is "four hundred eight million, two hundred nineteen thousand, eight hundred forty".