480046527 has 32 divisors (see below), whose sum is σ = 754488000. Its totient is φ = 300616704.

The previous prime is 480046481. The next prime is 480046529. The reversal of 480046527 is 725640084.

It is not a de Polignac number, because 480046527 - 2²⁰ = 478997951 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 480046491 and 480046500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480046529) 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, 457099 + ... + 458147.

It is an arithmetic number, because the mean of its divisors is an integer number (23577750).

Almost surely, 2^480046527 is an apocalyptic number.

480046527 is a deficient number, since it is larger than the sum of its proper divisors (274441473).

480046527 is a wasteful number, since it uses less digits than its factorization.

480046527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 480046527 is about 21909.9641031198. The cubic root of 480046527 is about 782.9988256174.

The spelling of 480046527 in words is "four hundred eighty million, forty-six thousand, five hundred twenty-seven".