480789764 has 36 divisors (see below), whose sum is σ = 1054044684. Its totient is φ = 190201536.

The previous prime is 480789763. The next prime is 480789787. The reversal of 480789764 is 467987084.

It can be written as a sum of positive squares in 2 ways, for example, as 220225600 + 260564164 = 14840^2 + 16142^2 .

It is a super-3 number, since 3×480789764³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480789763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91799 + ... + 96894.

It is an arithmetic number, because the mean of its divisors is an integer number (29279019).

Almost surely, 2^480789764 is an apocalyptic number.

It is an amenable number.

480789764 is an abundant number, since it is smaller than the sum of its proper divisors (573254920).

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

480789764 is a wasteful number, since it uses less digits than its factorization.

480789764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188724 (or 188715 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 53.

The square root of 480789764 is about 21926.9187073788. The cubic root of 480789764 is about 783.4027125914.

The spelling of 480789764 in words is "four hundred eighty million, seven hundred eighty-nine thousand, seven hundred sixty-four".