480481600 has 42 divisors (see below), whose sum is σ = 1182288974. Its totient is φ = 192192000.

The previous prime is 480481597. The next prime is 480481607. The reversal of 480481600 is 6184084.

It can be written as a sum of positive squares in 3 ways, for example, as 6635776 + 473845824 = 2576^2 + 21768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480481607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148551 + ... + 151750.

Almost surely, 2^480481600 is an apocalyptic number.

480481600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480481600 is an abundant number, since it is smaller than the sum of its proper divisors (701807374).

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

480481600 is a wasteful number, since it uses less digits than its factorization.

480481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300323 (or 300308 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 480481600 is about 21919.8905106755. The cubic root of 480481600 is about 783.2353018512.

The spelling of 480481600 in words is "four hundred eighty million, four hundred eighty-one thousand, six hundred".