480595668 has 48 divisors (see below), whose sum is σ = 1288788480. Its totient is φ = 136541664.

The previous prime is 480595657. The next prime is 480595699. The reversal of 480595668 is 866595084.

It is a super-3 number, since 3×480595668³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 480595668.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946 + ... + 31017.

It is an arithmetic number, because the mean of its divisors is an integer number (26849760).

Almost surely, 2^480595668 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 480595668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644394240).

480595668 is an abundant number, since it is smaller than the sum of its proper divisors (808192812).

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

480595668 is a wasteful number, since it uses less digits than its factorization.

480595668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32156 (or 32154 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 480595668 is about 21922.4922853219. The cubic root of 480595668 is about 783.2972778737.

The spelling of 480595668 in words is "four hundred eighty million, five hundred ninety-five thousand, six hundred sixty-eight".