480200523 has 16 divisors (see below), whose sum is σ = 705259776. Its totient is φ = 288203040.

The previous prime is 480200489. The next prime is 480200533. The reversal of 480200523 is 325002084.

It is not a de Polignac number, because 480200523 - 2⁶ = 480200459 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 480200493 and 480200502.

It is not an unprimeable number, because it can be changed into a prime (480200533) 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 15 ways as a sum of consecutive naturals, for example, 67240 + ... + 74037.

It is an arithmetic number, because the mean of its divisors is an integer number (44078736).

Almost surely, 2^480200523 is an apocalyptic number.

480200523 is a deficient number, since it is larger than the sum of its proper divisors (225059253).

480200523 is a wasteful number, since it uses less digits than its factorization.

480200523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141394.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 480200523 is about 21913.4781127962. The cubic root of 480200523 is about 783.0825437495.

The spelling of 480200523 in words is "four hundred eighty million, two hundred thousand, five hundred twenty-three".