408480800000 has 864 divisors, whose sum is σ = 1301944670208. Its totient is φ = 124416000000.

The previous prime is 408480799861. The next prime is 408480800033. The reversal of 408480800000 is 8084804.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 408480800000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2256799910 + ... + 2256800090.

Almost surely, 2^408480800000 is an apocalyptic number.

408480800000 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 408480800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650972335104).

408480800000 is an abundant number, since it is smaller than the sum of its proper divisors (893463870208).

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

408480800000 is an equidigital number, since it uses as much as digits as its factorization.

408480800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

Adding to 408480800000 its reverse (8084804), we get a palindrome (408488884804).

The spelling of 408480800000 in words is "four hundred eight billion, four hundred eighty million, eight hundred thousand".