506588040 has 256 divisors, whose sum is σ = 1950220800. Its totient is φ = 114573312.

The previous prime is 506588039. The next prime is 506588059. The reversal of 506588040 is 40885605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 506587986 and 506588004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 853984 + ... + 854576.

It is an arithmetic number, because the mean of its divisors is an integer number (7618050).

Almost surely, 2^506588040 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 506588040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975110400).

506588040 is an abundant number, since it is smaller than the sum of its proper divisors (1443632760).

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

506588040 is a wasteful number, since it uses less digits than its factorization.

506588040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 506588040 is about 22507.5107464153. The cubic root of 506588040 is about 797.1712805550.

The spelling of 506588040 in words is "five hundred six million, five hundred eighty-eight thousand, forty".