480046279680 has 440 divisors, whose sum is σ = 1876615416720. Its totient is φ = 116373749760.

The previous prime is 480046279679. The next prime is 480046279693. The reversal of 480046279680 is 86972640084.

480046279680 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 4 + 627 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4509306 + ... + 4614534.

It is an arithmetic number, because the mean of its divisors is an integer number (4265035038).

Almost surely, 2^480046279680 is an apocalyptic number.

480046279680 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 480046279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938307708360).

480046279680 is an abundant number, since it is smaller than the sum of its proper divisors (1396569137040).

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

480046279680 is a wasteful number, since it uses less digits than its factorization.

480046279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105277 (or 105250 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 480046279680 in words is "four hundred eighty billion, forty-six million, two hundred seventy-nine thousand, six hundred eighty".