480889969 has 12 divisors (see below), whose sum is σ = 560862900. Its totient is φ = 411115488.

The previous prime is 480889967. The next prime is 480889973. The reversal of 480889969 is 969988084.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 64240225 + 416649744 = 8015^2 + 20412^2 .

It is not a de Polignac number, because 480889969 - 2¹ = 480889967 is a prime.

It is a super-3 number, since 3×480889969³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480889967) 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, 6447 + ... + 31675.

It is an arithmetic number, because the mean of its divisors is an integer number (46738575).

Almost surely, 2^480889969 is an apocalyptic number.

480889969 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

480889969 is a deficient number, since it is larger than the sum of its proper divisors (79972931).

480889969 is a wasteful number, since it uses less digits than its factorization.

480889969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25632 (or 25625 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 61.

The square root of 480889969 is about 21929.2035651092. The cubic root of 480889969 is about 783.4571337554.

The spelling of 480889969 in words is "four hundred eighty million, eight hundred eighty-nine thousand, nine hundred sixty-nine".