484887674880 has 720 divisors, whose sum is σ = 1962874368000. Its totient is φ = 108419088384.

The previous prime is 484887674867. The next prime is 484887674903. The reversal of 484887674880 is 88476788484.

484887674880 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 87 + 67 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 484887674799 and 484887674808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242564121 + ... + 242566119.

It is an arithmetic number, because the mean of its divisors is an integer number (2726214400).

Almost surely, 2^484887674880 is an apocalyptic number.

484887674880 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 484887674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981437184000).

484887674880 is an abundant number, since it is smaller than the sum of its proper divisors (1477986693120).

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

484887674880 is a wasteful number, since it uses less digits than its factorization.

484887674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 616562688, while the sum is 72.

The spelling of 484887674880 in words is "four hundred eighty-four billion, eight hundred eighty-seven million, six hundred seventy-four thousand, eight hundred eighty".