480240680 has 16 divisors (see below), whose sum is σ = 1080541620. Its totient is φ = 192096256.

The previous prime is 480240671. The next prime is 480240697. The reversal of 480240680 is 86042084.

It can be written as a sum of positive squares in 2 ways, for example, as 464574916 + 15665764 = 21554^2 + 3958^2 .

It is a super-3 number, since 3×480240680³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6002969 + ... + 6003048.

Almost surely, 2^480240680 is an apocalyptic number.

480240680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480240680 is an abundant number, since it is smaller than the sum of its proper divisors (600300940).

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

480240680 is a wasteful number, since it uses less digits than its factorization.

480240680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12006028 (or 12006024 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 480240680 is about 21914.3943562217. The cubic root of 480240680 is about 783.1043716927.

The spelling of 480240680 in words is "four hundred eighty million, two hundred forty thousand, six hundred eighty".