480946661917176 has 256 divisors, whose sum is σ = 1507887935769600. Its totient is φ = 124439028719616.

The previous prime is 480946661917159. The next prime is 480946661917181. The reversal of 480946661917176 is 671719166649084.

It is a super-3 number, since 3×480946661917176³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480946661917098 and 480946661917107.

It is a congruent number.

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, 1381789120 + ... + 1382137136.

It is an arithmetic number, because the mean of its divisors is an integer number (5890187249100).

Almost surely, 2^{480946661917176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480946661917176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753943967884800).

480946661917176 is an abundant number, since it is smaller than the sum of its proper divisors (1026941273852424).

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

480946661917176 is a wasteful number, since it uses less digits than its factorization.

480946661917176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360038 (or 360034 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 75.

The spelling of 480946661917176 in words is "four hundred eighty trillion, nine hundred forty-six billion, six hundred sixty-one million, nine hundred seventeen thousand, one hundred seventy-six".