480666480 has 160 divisors (see below), whose sum is σ = 1737984000. Its totient is φ = 109847808.

The previous prime is 480666479. The next prime is 480666497. The reversal of 480666480 is 84666084.

It is a super-3 number, since 3×480666480³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 79401 + ... + 85239.

It is an arithmetic number, because the mean of its divisors is an integer number (10862400).

Almost surely, 2^480666480 is an apocalyptic number.

480666480 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 480666480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868992000).

480666480 is an abundant number, since it is smaller than the sum of its proper divisors (1257317520).

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

480666480 is a wasteful number, since it uses less digits than its factorization.

480666480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876 (or 5856 counting only the distinct ones).

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

The square root of 480666480 is about 21924.1072794310. The cubic root of 480666480 is about 783.3357468866.

The spelling of 480666480 in words is "four hundred eighty million, six hundred sixty-six thousand, four hundred eighty".