506040000 has 140 divisors (see below), whose sum is σ = 1673483064. Its totient is φ = 134912000.

The previous prime is 506039987. The next prime is 506040047. The reversal of 506040000 is 40605.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117892 + ... + 122108.

Almost surely, 2^506040000 is an apocalyptic number.

506040000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836741532).

506040000 is an abundant number, since it is smaller than the sum of its proper divisors (1167443064).

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

506040000 is an equidigital number, since it uses as much as digits as its factorization.

506040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 506040000 is about 22495.3328492823. The cubic root of 506040000 is about 796.8837100163.

Adding to 506040000 its reverse (40605), we get a palindrome (506080605).

The spelling of 506040000 in words is "five hundred six million, forty thousand".