488484807730920 has 9216 divisors, whose sum is σ = 2526325504819200. Its totient is φ = 81015717888000.

The previous prime is 488484807730819. The next prime is 488484807730921. The reversal of 488484807730920 is 29037708484884.

It is a happy number.

488484807730920 is a `hidden beast` number, since 4 + 8 + 8 + 48 + 480 + 77 + 30 + 9 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (488484807730921) by changing a digit.

It is a polite number, since it can be written in 2303 ways as a sum of consecutive naturals, for example, 6880067714485 + ... + 6880067714555.

It is an arithmetic number, because the mean of its divisors is an integer number (274123861200).

Almost surely, 2^{488484807730920} is an apocalyptic number.

488484807730920 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 488484807730920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263162752409600).

488484807730920 is an abundant number, since it is smaller than the sum of its proper divisors (2037840697088280).

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

488484807730920 is a wasteful number, since it uses less digits than its factorization.

488484807730920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 488484807730920 in words is "four hundred eighty-eight trillion, four hundred eighty-four billion, eight hundred seven million, seven hundred thirty thousand, nine hundred twenty".