408096864 has 288 divisors, whose sum is σ = 1396362240. Its totient is φ = 110647296.

The previous prime is 408096827. The next prime is 408096869. The reversal of 408096864 is 468690804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408096869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5590332 + ... + 5590404.

It is an arithmetic number, because the mean of its divisors is an integer number (4848480).

Almost surely, 2^408096864 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 408096864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698181120).

408096864 is an abundant number, since it is smaller than the sum of its proper divisors (988265376).

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

408096864 is a wasteful number, since it uses less digits than its factorization.

408096864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 408096864 is about 20201.4074757181. The cubic root of 408096864 is about 741.7446441993.

The spelling of 408096864 in words is "four hundred eight million, ninety-six thousand, eight hundred sixty-four".