506308880 has 80 divisors (see below), whose sum is σ = 1467656064. Its totient is φ = 157808640.

The previous prime is 506308849. The next prime is 506308919. The reversal of 506308880 is 88803605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34937 + ... + 47256.

Almost surely, 2^506308880 is an apocalyptic number.

It is an amenable number.

506308880 is an abundant number, since it is smaller than the sum of its proper divisors (961347184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506308880 is a wasteful number, since it uses less digits than its factorization.

506308880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82224 (or 82218 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 506308880 is about 22501.3084064016. The cubic root of 506308880 is about 797.0248241269.

The spelling of 506308880 in words is "five hundred six million, three hundred eight thousand, eight hundred eighty".