506385000 has 480 divisors, whose sum is σ = 1994361600. Its totient is φ = 118800000.

The previous prime is 506384981. The next prime is 506385007. The reversal of 506385000 is 583605.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (506385007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16334985 + ... + 16335015.

It is an arithmetic number, because the mean of its divisors is an integer number (4154920).

Almost surely, 2^506385000 is an apocalyptic number.

506385000 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 506385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997180800).

506385000 is an abundant number, since it is smaller than the sum of its proper divisors (1487976600).

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

506385000 is a wasteful number, since it uses less digits than its factorization.

506385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 506385000 is about 22502.9998000267. Note that the first 3 decimals coincide. The cubic root of 506385000 is about 797.0647644953.

The spelling of 506385000 in words is "five hundred six million, three hundred eighty-five thousand".