481589960 has 64 divisors (see below), whose sum is σ = 1177459200. Its totient is φ = 176601600.

The previous prime is 481589909. The next prime is 481589963. The reversal of 481589960 is 69985184.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 481589899 and 481589908.

It is not an unprimeable number, because it can be changed into a prime (481589963) 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, 13340 + ... + 33780.

It is an arithmetic number, because the mean of its divisors is an integer number (18397800).

Almost surely, 2^481589960 is an apocalyptic number.

481589960 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 481589960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588729600).

481589960 is an abundant number, since it is smaller than the sum of its proper divisors (695869240).

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

481589960 is a wasteful number, since it uses less digits than its factorization.

481589960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20502 (or 20498 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The square root of 481589960 is about 21945.1580080892. The cubic root of 481589960 is about 783.8370869672.

The spelling of 481589960 in words is "four hundred eighty-one million, five hundred eighty-nine thousand, nine hundred sixty".