506485000 has 160 divisors (see below), whose sum is σ = 1405800000. Its totient is φ = 167328000.

The previous prime is 506484997. The next prime is 506485009. The reversal of 506485000 is 584605.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 506485000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506485009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1014751 + ... + 1015249.

It is an arithmetic number, because the mean of its divisors is an integer number (8786250).

Almost surely, 2^506485000 is an apocalyptic number.

506485000 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 506485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702900000).

506485000 is an abundant number, since it is smaller than the sum of its proper divisors (899315000).

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

506485000 is a wasteful number, since it uses less digits than its factorization.

506485000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 506485000 is about 22505.2216163272. The cubic root of 506485000 is about 797.1172286811.

The spelling of 506485000 in words is "five hundred six million, four hundred eighty-five thousand".