485598960 has 480 divisors, whose sum is σ = 2144862720. Its totient is φ = 95385600.

The previous prime is 485598943. The next prime is 485598991. The reversal of 485598960 is 69895584.

It is a happy number.

485598960 is a `hidden beast` number, since 4 + 8 + 559 + 89 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 485598897 and 485598906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1053130 + ... + 1053590.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2^485598960 is an apocalyptic number.

485598960 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 485598960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

485598960 is an abundant number, since it is smaller than the sum of its proper divisors (1659263760).

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

485598960 is a wasteful number, since it uses less digits than its factorization.

485598960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 485598960 is about 22036.3100359384. The cubic root of 485598960 is about 786.0060990533.

The spelling of 485598960 in words is "four hundred eighty-five million, five hundred ninety-eight thousand, nine hundred sixty".