506812000 has 48 divisors (see below), whose sum is σ = 1245246912. Its totient is φ = 202723200.

The previous prime is 506811979. The next prime is 506812001. The reversal of 506812000 is 218605.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506812001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59352 + ... + 67351.

It is an arithmetic number, because the mean of its divisors is an integer number (25942644).

Almost surely, 2^506812000 is an apocalyptic number.

506812000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506812000 is an abundant number, since it is smaller than the sum of its proper divisors (738434912).

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

506812000 is a wasteful number, since it uses less digits than its factorization.

506812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126728 (or 126710 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 506812000 is about 22512.4854247593. The cubic root of 506812000 is about 797.2887383725.

The spelling of 506812000 in words is "five hundred six million, eight hundred twelve thousand".