506066000 has 80 divisors (see below), whose sum is σ = 1334968128. Its totient is φ = 184016000.

The previous prime is 506065999. The next prime is 506066017. The reversal of 506066000 is 660605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×506066000² = 512205592712000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10499 + ... + 33501.

Almost surely, 2^506066000 is an apocalyptic number.

506066000 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 506066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667484064).

506066000 is an abundant number, since it is smaller than the sum of its proper divisors (828902128).

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

506066000 is a wasteful number, since it uses less digits than its factorization.

506066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23037 (or 23021 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 506066000 is about 22495.9107395100. The cubic root of 506066000 is about 796.8973575683.

The spelling of 506066000 in words is "five hundred six million, sixty-six thousand".