480504570174720 has 1728 divisors, whose sum is σ = 2168345350080000. Its totient is φ = 95336773189632.

The previous prime is 480504570174701. The next prime is 480504570174877. The reversal of 480504570174720 is 27471075405084.

480504570174720 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 0 + 4 + 570 + 1 + 7 + 47 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22258967767 + ... + 22258989353.

It is an arithmetic number, because the mean of its divisors is an integer number (1254829485000).

Almost surely, 2^{480504570174720} is an apocalyptic number.

480504570174720 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 480504570174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084172675040000).

480504570174720 is an abundant number, since it is smaller than the sum of its proper divisors (1687840779905280).

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

480504570174720 is a wasteful number, since it uses less digits than its factorization.

480504570174720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22900 (or 22883 counting only the distinct ones).

The product of its (nonzero) digits is 8780800, while the sum is 54.

The spelling of 480504570174720 in words is "four hundred eighty trillion, five hundred four billion, five hundred seventy million, one hundred seventy-four thousand, seven hundred twenty".