480808800000 has 648 divisors, whose sum is σ = 1774190225808. Its totient is φ = 125153280000.

The previous prime is 480808799993. The next prime is 480808800019. The reversal of 480808800000 is 8808084.

It is a super-3 number, since 3×480808800000³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

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, 309599224 + ... + 309600776.

Almost surely, 2^480808800000 is an apocalyptic number.

480808800000 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 480808800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887095112904).

480808800000 is an abundant number, since it is smaller than the sum of its proper divisors (1293381425808).

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

480808800000 is an equidigital number, since it uses as much as digits as its factorization.

480808800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 480808800000 in words is "four hundred eighty billion, eight hundred eight million, eight hundred thousand".