480679560 has 96 divisors (see below), whose sum is σ = 1581128640. Its totient is φ = 126628992.

The previous prime is 480679559. The next prime is 480679567. The reversal of 480679560 is 65976084.

480679560 is a `hidden beast` number, since 4 + 80 + 6 + 7 + 9 + 560 = 666.

It is a super-3 number, since 3×480679560³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (480679567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21837 + ... + 37923.

It is an arithmetic number, because the mean of its divisors is an integer number (16470090).

Almost surely, 2^480679560 is an apocalyptic number.

480679560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480679560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790564320).

480679560 is an abundant number, since it is smaller than the sum of its proper divisors (1100449080).

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

480679560 is a wasteful number, since it uses less digits than its factorization.

480679560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16187 (or 16180 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 480679560 is about 21924.4055791714. The cubic root of 480679560 is about 783.3428522559.

The spelling of 480679560 in words is "four hundred eighty million, six hundred seventy-nine thousand, five hundred sixty".