408895104 has 128 divisors (see below), whose sum is σ = 1151930880. Its totient is φ = 128240640.

The previous prime is 408895063. The next prime is 408895129. The reversal of 408895104 is 401598804.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) 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, 591399 + ... + 592089.

It is an arithmetic number, because the mean of its divisors is an integer number (8999460).

Almost surely, 2^408895104 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 408895104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575965440).

408895104 is an abundant number, since it is smaller than the sum of its proper divisors (743035776).

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

408895104 is a wasteful number, since it uses less digits than its factorization.

408895104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 408895104 is about 20221.1548631625. The cubic root of 408895104 is about 742.2279482641.

The spelling of 408895104 in words is "four hundred eight million, eight hundred ninety-five thousand, one hundred four".