480164172480 has 448 divisors, whose sum is σ = 1761213404160. Its totient is φ = 123050188800.

The previous prime is 480164172409. The next prime is 480164172533. The reversal of 480164172480 is 84271461084.

480164172480 is a `hidden beast` number, since 4 + 8 + 0 + 164 + 1 + 7 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23723965 + ... + 23744195.

It is an arithmetic number, because the mean of its divisors is an integer number (3931279920).

Almost surely, 2^480164172480 is an apocalyptic number.

480164172480 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 480164172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880606702080).

480164172480 is an abundant number, since it is smaller than the sum of its proper divisors (1281049231680).

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

480164172480 is a wasteful number, since it uses less digits than its factorization.

480164172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20365 (or 20349 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 480164172480 in words is "four hundred eighty billion, one hundred sixty-four million, one hundred seventy-two thousand, four hundred eighty".