480660800 has 42 divisors (see below), whose sum is σ = 1182729918. Its totient is φ = 192263680.

The previous prime is 480660781. The next prime is 480660809. The reversal of 480660800 is 8066084.

It can be written as a sum of positive squares in 3 ways, for example, as 43349056 + 437311744 = 6584^2 + 20912^2 .

It is a super-3 number, since 3×480660800³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480660809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148607 + ... + 151806.

Almost surely, 2^480660800 is an apocalyptic number.

480660800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480660800 is an abundant number, since it is smaller than the sum of its proper divisors (702069118).

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

480660800 is a wasteful number, since it uses less digits than its factorization.

480660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300435 (or 300420 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 480660800 is about 21923.9777412768. The cubic root of 480660800 is about 783.3326613344.

The spelling of 480660800 in words is "four hundred eighty million, six hundred sixty thousand, eight hundred".