488412408000 has 672 divisors, whose sum is σ = 1789341225984. Its totient is φ = 116417280000.

The previous prime is 488412407993. The next prime is 488412408019. The reversal of 488412408000 is 804214884.

488412408000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 488412408000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1330823817 + ... + 1330824183.

Almost surely, 2^488412408000 is an apocalyptic number.

488412408000 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 488412408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894670612992).

488412408000 is an abundant number, since it is smaller than the sum of its proper divisors (1300928817984).

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

488412408000 is a wasteful number, since it uses less digits than its factorization.

488412408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The spelling of 488412408000 in words is "four hundred eighty-eight billion, four hundred twelve million, four hundred eight thousand".