408470884800 has 336 divisors, whose sum is σ = 1468116748800. Its totient is φ = 98605875200.

The previous prime is 408470884781. The next prime is 408470884807. The reversal of 408470884800 is 8488074804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408470884807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12603016 + ... + 12635384.

Almost surely, 2^408470884800 is an apocalyptic number.

408470884800 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 408470884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734058374400).

408470884800 is an abundant number, since it is smaller than the sum of its proper divisors (1059645864000).

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

408470884800 is a wasteful number, since it uses less digits than its factorization.

408470884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32644 (or 32629 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 51.

The spelling of 408470884800 in words is "four hundred eight billion, four hundred seventy million, eight hundred eighty-four thousand, eight hundred".