480006720 has 84 divisors (see below), whose sum is σ = 1651033020. Its totient is φ = 128001024.

The previous prime is 480006719. The next prime is 480006727. The reversal of 480006720 is 27600084.

It can be written as a sum of positive squares in 2 ways, for example, as 238887936 + 241118784 = 15456^2 + 15528^2 .

It is not an unprimeable number, because it can be changed into a prime (480006727) 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 11 ways as a sum of consecutive naturals, for example, 80455 + ... + 86214.

It is an arithmetic number, because the mean of its divisors is an integer number (19655155).

Almost surely, 2^480006720 is an apocalyptic number.

480006720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480006720 is an abundant number, since it is smaller than the sum of its proper divisors (1171026300).

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

480006720 is a wasteful number, since it uses less digits than its factorization.

480006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166692 (or 166679 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 480006720 is about 21909.0556619860. The cubic root of 480006720 is about 782.9771820932.

The spelling of 480006720 in words is "four hundred eighty million, six thousand, seven hundred twenty".