480784365564 has 48 divisors (see below), whose sum is σ = 1174418665728. Its totient is φ = 152794211328.

The previous prime is 480784365557. The next prime is 480784365569. The reversal of 480784365564 is 465563487084.

It is a happy number.

It is a super-3 number, since 3×480784365564³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480784365498 and 480784365507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480784365569) 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, 2752357 + ... + 2921820.

It is an arithmetic number, because the mean of its divisors is an integer number (24467055536).

Almost surely, 2^480784365564 is an apocalyptic number.

It is an amenable number.

480784365564 is an abundant number, since it is smaller than the sum of its proper divisors (693634300164).

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

480784365564 is a wasteful number, since it uses less digits than its factorization.

480784365564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674514 (or 5674512 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 60.

The spelling of 480784365564 in words is "four hundred eighty billion, seven hundred eighty-four million, three hundred sixty-five thousand, five hundred sixty-four".