480135687 has 32 divisors (see below), whose sum is σ = 681696000. Its totient is φ = 300115200.

The previous prime is 480135683. The next prime is 480135713. The reversal of 480135687 is 786531084.

It is not a de Polignac number, because 480135687 - 2² = 480135683 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480135683) 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, 456312 + ... + 457362.

It is an arithmetic number, because the mean of its divisors is an integer number (21303000).

Almost surely, 2^480135687 is an apocalyptic number.

480135687 is a deficient number, since it is larger than the sum of its proper divisors (201560313).

480135687 is a wasteful number, since it uses less digits than its factorization.

480135687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231.

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 480135687 is about 21911.9986993428. The cubic root of 480135687 is about 783.0472985949.

The spelling of 480135687 in words is "four hundred eighty million, one hundred thirty-five thousand, six hundred eighty-seven".