480846660 has 96 divisors (see below), whose sum is σ = 1571512320. Its totient is φ = 107564928.

The previous prime is 480846631. The next prime is 480846677. The reversal of 480846660 is 66648084.

It is a super-3 number, since 3×480846660³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7561 + ... + 31919.

It is an arithmetic number, because the mean of its divisors is an integer number (16369920).

Almost surely, 2^480846660 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 480846660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785756160).

480846660 is an abundant number, since it is smaller than the sum of its proper divisors (1090665660).

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

480846660 is a wasteful number, since it uses less digits than its factorization.

480846660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24425 (or 24423 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 480846660 is about 21928.2160697126. The cubic root of 480846660 is about 783.4336136394.

The spelling of 480846660 in words is "four hundred eighty million, eight hundred forty-six thousand, six hundred sixty".