506936480 has 24 divisors (see below), whose sum is σ = 1197637812. Its totient is φ = 202774528.

The previous prime is 506936477. The next prime is 506936483. The reversal of 506936480 is 84639605.

It is an interprime number because it is at equal distance from previous prime (506936477) and next prime (506936483).

It can be written as a sum of positive squares in 2 ways, for example, as 483472144 + 23464336 = 21988^2 + 4844^2 .

It is not an unprimeable number, because it can be changed into a prime (506936483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1584017 + ... + 1584336.

Almost surely, 2^506936480 is an apocalyptic number.

It is an amenable number.

506936480 is an abundant number, since it is smaller than the sum of its proper divisors (690701332).

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

506936480 is a wasteful number, since it uses less digits than its factorization.

506936480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168368 (or 3168360 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 506936480 is about 22515.2499430941. The cubic root of 506936480 is about 797.3540080569.

The spelling of 506936480 in words is "five hundred six million, nine hundred thirty-six thousand, four hundred eighty".