480817179360 has 576 divisors, whose sum is σ = 1947580637184. Its totient is φ = 109734912000.

The previous prime is 480817179341. The next prime is 480817179361. The reversal of 480817179360 is 63971718084.

480817179360 is a `hidden beast` number, since 48 + 0 + 8 + 171 + 79 + 360 = 666.

It is a super-3 number, since 3×480817179360³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 480817179297 and 480817179306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480817179361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326863425 + ... + 326864895.

It is an arithmetic number, because the mean of its divisors is an integer number (3381216384).

Almost surely, 2^480817179360 is an apocalyptic number.

480817179360 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 480817179360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973790318592).

480817179360 is an abundant number, since it is smaller than the sum of its proper divisors (1466763457824).

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

480817179360 is a wasteful number, since it uses less digits than its factorization.

480817179360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 480817179360 in words is "four hundred eighty billion, eight hundred seventeen million, one hundred seventy-nine thousand, three hundred sixty".