408864672 has 120 divisors (see below), whose sum is σ = 1209404196. Its totient is φ = 135502848.

The previous prime is 408864661. The next prime is 408864679. The reversal of 408864672 is 276468804.

It can be written as a sum of positive squares in 2 ways, for example, as 393466896 + 15397776 = 19836^2 + 3924^2 .

It is not an unprimeable number, because it can be changed into a prime (408864679) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 603598 + ... + 604274.

Almost surely, 2^408864672 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 408864672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604702098).

408864672 is an abundant number, since it is smaller than the sum of its proper divisors (800539524).

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

408864672 is a wasteful number, since it uses less digits than its factorization.

408864672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 408864672 is about 20220.4023698837. The cubic root of 408864672 is about 742.2095343799.

The spelling of 408864672 in words is "four hundred eight million, eight hundred sixty-four thousand, six hundred seventy-two".