480688553 has 8 divisors (see below), whose sum is σ = 487050408. Its totient is φ = 474363904.

The previous prime is 480688547. The next prime is 480688561. The reversal of 480688553 is 355886084.

It can be written as a sum of positive squares in 4 ways, for example, as 17707264 + 462981289 = 4208^2 + 21517^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 480688553 - 2⁶ = 480688489 is a prime.

It is a super-3 number, since 3×480688553³ (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 junction number, because it is equal to n+sod(n) for n = 480688498 and 480688507.

It is not an unprimeable number, because it can be changed into a prime (480685553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17201 + ... + 35457.

It is an arithmetic number, because the mean of its divisors is an integer number (60881301).

Almost surely, 2^480688553 is an apocalyptic number.

It is an amenable number.

480688553 is a deficient number, since it is larger than the sum of its proper divisors (6361855).

480688553 is a wasteful number, since it uses less digits than its factorization.

480688553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18603.

The product of its (nonzero) digits is 921600, while the sum is 47.

The square root of 480688553 is about 21924.6106692913. The cubic root of 480688553 is about 783.3477373942.

The spelling of 480688553 in words is "four hundred eighty million, six hundred eighty-eight thousand, five hundred fifty-three".