506958336 has 60 divisors (see below), whose sum is σ = 1463129382. Its totient is φ = 168984576.

The previous prime is 506958307. The next prime is 506958337. The reversal of 506958336 is 633859605.

506958336 is a `hidden beast` number, since 5 + 0 + 69 + 583 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 359481600 + 147476736 = 18960^2 + 12144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 506958291 and 506958300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506958337) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50401 + ... + 59616.

Almost surely, 2^506958336 is an apocalyptic number.

It is an amenable number.

506958336 is an abundant number, since it is smaller than the sum of its proper divisors (956171046).

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

506958336 is a wasteful number, since it uses less digits than its factorization.

506958336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110041 (or 110022 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 506958336 is about 22515.7352977867. The cubic root of 506958336 is about 797.3654669013.

The spelling of 506958336 in words is "five hundred six million, nine hundred fifty-eight thousand, three hundred thirty-six".