506007000 has 160 divisors (see below), whose sum is σ = 1769058720. Its totient is φ = 134913600.

The previous prime is 506006987. The next prime is 506007001. The reversal of 506007000 is 700605.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506007001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77877 + ... + 84123.

It is an arithmetic number, because the mean of its divisors is an integer number (11056617).

Almost surely, 2^506007000 is an apocalyptic number.

506007000 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 506007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884529360).

506007000 is an abundant number, since it is smaller than the sum of its proper divisors (1263051720).

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

506007000 is a wasteful number, since it uses less digits than its factorization.

506007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6280 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 506007000 is about 22494.5993518444. The cubic root of 506007000 is about 796.8663874502.

Adding to 506007000 its reverse (700605), we get a palindrome (506707605).

It can be divided in two parts, 50600 and 7000, that added together give a square (57600 = 240²).

The spelling of 506007000 in words is "five hundred six million, seven thousand".