480819560 has 64 divisors (see below), whose sum is σ = 1168549200. Its totient is φ = 177002496.

The previous prime is 480819539. The next prime is 480819569. The reversal of 480819560 is 65918084.

It can be written as a sum of positive squares in 8 ways, for example, as 49758916 + 431060644 = 7054^2 + 20762^2 .

It is a super-3 number, since 3×480819560³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480819569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201092 + ... + 203468.

Almost surely, 2^480819560 is an apocalyptic number.

480819560 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 480819560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584274600).

480819560 is an abundant number, since it is smaller than the sum of its proper divisors (687729640).

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

480819560 is a wasteful number, since it uses less digits than its factorization.

480819560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 480819560 is about 21927.5981356828. The cubic root of 480819560 is about 783.4188955379.

The spelling of 480819560 in words is "four hundred eighty million, eight hundred nineteen thousand, five hundred sixty".