506066040 has 96 divisors (see below), whose sum is σ = 1648155600. Its totient is φ = 134668800.

The previous prime is 506066039. The next prime is 506066051. The reversal of 506066040 is 40660605.

506066040 is a `hidden beast` number, since 50 + 6 + 0 + 6 + 604 + 0 = 666.

It is a super-2 number, since 2×506066040² = 512205673682563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506065995 and 506066013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215191 + ... + 217529.

Almost surely, 2^506066040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506066040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824077800).

506066040 is an abundant number, since it is smaller than the sum of its proper divisors (1142089560).

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

506066040 is a wasteful number, since it uses less digits than its factorization.

506066040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 506066040 is about 22495.9116285604. The cubic root of 506066040 is about 796.8973785642.

The spelling of 506066040 in words is "five hundred six million, sixty-six thousand, forty".