506384680 has 16 divisors (see below), whose sum is σ = 1139365620. Its totient is φ = 202553856.

The previous prime is 506384677. The next prime is 506384731. The reversal of 506384680 is 86483605.

It can be written as a sum of positive squares in 2 ways, for example, as 506160004 + 224676 = 22498^2 + 474^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 12659617 = 506384680 / (5 + 0 + 6 + 3 + 8 + 4 + 6 + 8 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6329769 + ... + 6329848.

Almost surely, 2^506384680 is an apocalyptic number.

It is an amenable number.

506384680 is an abundant number, since it is smaller than the sum of its proper divisors (632980940).

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

506384680 is a wasteful number, since it uses less digits than its factorization.

506384680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12659628 (or 12659624 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 506384680 is about 22502.9926898624. The cubic root of 506384680 is about 797.0645965988.

The spelling of 506384680 in words is "five hundred six million, three hundred eighty-four thousand, six hundred eighty".