408900096 has 160 divisors (see below), whose sum is σ = 1320897600. Its totient is φ = 123863040.

The previous prime is 408900067. The next prime is 408900113. The reversal of 408900096 is 690009804.

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

It is a self number, because there is not a number n which added to its sum of digits gives 408900096.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 150720 + ... + 153408.

It is an arithmetic number, because the mean of its divisors is an integer number (8255610).

Almost surely, 2^408900096 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 408900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660448800).

408900096 is an abundant number, since it is smaller than the sum of its proper divisors (911997504).

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

408900096 is a wasteful number, since it uses less digits than its factorization.

408900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 408900096 is about 20221.2782978723. The cubic root of 408900096 is about 742.2309687510.

The spelling of 408900096 in words is "four hundred eight million, nine hundred thousand, ninety-six".