506588004 has 72 divisors (see below), whose sum is σ = 1389740352. Its totient is φ = 154664640.

The previous prime is 506588003. The next prime is 506588009. The reversal of 506588004 is 400885605.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 506588004.

It is not an unprimeable number, because it can be changed into a prime (506588003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57177 + ... + 65439.

Almost surely, 2^506588004 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 506588004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694870176).

506588004 is an abundant number, since it is smaller than the sum of its proper divisors (883152348).

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

506588004 is a wasteful number, since it uses less digits than its factorization.

506588004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8417 (or 8412 counting only the distinct ones).

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

The square root of 506588004 is about 22507.5099466822. The cubic root of 506588004 is about 797.1712616717.

The spelling of 506588004 in words is "five hundred six million, five hundred eighty-eight thousand, four".