480406346523 has 32 divisors (see below), whose sum is σ = 737545036800. Its totient is φ = 308685232800.

The previous prime is 480406346503. The next prime is 480406346527. The reversal of 480406346523 is 325643604084.

480406346523 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 0 + 634 + 6 + 5 + 2 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-480406346523 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480406346527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90163 + ... + 984348.

It is an arithmetic number, because the mean of its divisors is an integer number (23048282400).

Almost surely, 2^480406346523 is an apocalyptic number.

480406346523 is a deficient number, since it is larger than the sum of its proper divisors (257138690277).

480406346523 is a wasteful number, since it uses less digits than its factorization.

480406346523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075120 (or 1075114 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 480406346523 in words is "four hundred eighty billion, four hundred six million, three hundred forty-six thousand, five hundred twenty-three".