408448800 has 432 divisors, whose sum is σ = 1579398912. Its totient is φ = 98918400.

The previous prime is 408448769. The next prime is 408448811. The reversal of 408448800 is 8844804.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5752765 + ... + 5752835.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^408448800 is an apocalyptic number.

408448800 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 408448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789699456).

408448800 is an abundant number, since it is smaller than the sum of its proper divisors (1170950112).

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

408448800 is a wasteful number, since it uses less digits than its factorization.

408448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 408448800 is about 20210.1162787353. The cubic root of 408448800 is about 741.9578057150.

The spelling of 408448800 in words is "four hundred eight million, four hundred forty-eight thousand, eight hundred".