480812553 has 24 divisors (see below), whose sum is σ = 760203080. Its totient is φ = 291029760.

The previous prime is 480812551. The next prime is 480812567. The reversal of 480812553 is 355218084.

It is a happy number.

480812553 is a `hidden beast` number, since 480 + 8 + 125 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101848464 + 378964089 = 10092^2 + 19467^2 .

It is not a de Polignac number, because 480812553 - 2¹ = 480812551 is a prime.

It is a super-3 number, since 3×480812553³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (480812551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26548 + ... + 40821.

Almost surely, 2^480812553 is an apocalyptic number.

It is an amenable number.

480812553 is a deficient number, since it is larger than the sum of its proper divisors (279390527).

480812553 is a wasteful number, since it uses less digits than its factorization.

480812553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67449 (or 67446 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 480812553 is about 21927.4383592795. The cubic root of 480812553 is about 783.4150899226.

The spelling of 480812553 in words is "four hundred eighty million, eight hundred twelve thousand, five hundred fifty-three".