488454496992 has 480 divisors, whose sum is σ = 1793749224960. Its totient is φ = 126676638720.

The previous prime is 488454496979. The next prime is 488454497057. The reversal of 488454496992 is 299694454884.

488454496992 is a `hidden beast` number, since 4 + 8 + 8 + 45 + 4 + 496 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 488454496992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 167449518 + ... + 167452434.

It is an arithmetic number, because the mean of its divisors is an integer number (3736977552).

Almost surely, 2^488454496992 is an apocalyptic number.

488454496992 is a gapful number since it is divisible by the number (42) 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 488454496992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896874612480).

488454496992 is an abundant number, since it is smaller than the sum of its proper divisors (1305294727968).

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

488454496992 is a wasteful number, since it uses less digits than its factorization.

488454496992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3779 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 488454496992 in words is "four hundred eighty-eight billion, four hundred fifty-four million, four hundred ninety-six thousand, nine hundred ninety-two".