506834000 has 40 divisors (see below), whose sum is σ = 1225529448. Its totient is φ = 202732800.

The previous prime is 506833981. The next prime is 506834011. The reversal of 506834000 is 438605.

It can be written as a sum of positive squares in 4 ways, for example, as 77018176 + 429815824 = 8776^2 + 20732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124709 + ... + 128708.

Almost surely, 2^506834000 is an apocalyptic number.

506834000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506834000 is an abundant number, since it is smaller than the sum of its proper divisors (718695448).

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

506834000 is a wasteful number, since it uses less digits than its factorization.

506834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253440 (or 253424 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 506834000 is about 22512.9740372080. The cubic root of 506834000 is about 797.3002746019.

The spelling of 506834000 in words is "five hundred six million, eight hundred thirty-four thousand".