481588965 has 96 divisors (see below), whose sum is σ = 996218496. Its totient is φ = 212129280.

The previous prime is 481588897. The next prime is 481588967. The reversal of 481588965 is 569885184.

It is a happy number.

It is not a de Polignac number, because 481588965 - 2¹³ = 481580773 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481588967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430587 + ... + 431703.

It is an arithmetic number, because the mean of its divisors is an integer number (10377276).

Almost surely, 2^481588965 is an apocalyptic number.

481588965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481588965 is an abundant number, since it is smaller than the sum of its proper divisors (514629531).

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

481588965 is a wasteful number, since it uses less digits than its factorization.

481588965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1216 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 481588965 is about 21945.1353379285. The cubic root of 481588965 is about 783.8365471453.

The spelling of 481588965 in words is "four hundred eighty-one million, five hundred eighty-eight thousand, nine hundred sixty-five".