506860000 has 60 divisors (see below), whose sum is σ = 1247000832. Its totient is φ = 202736000.

The previous prime is 506859943. The next prime is 506860007. The reversal of 506860000 is 68605.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506860007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7329 + ... + 32671.

Almost surely, 2^506860000 is an apocalyptic number.

506860000 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 506860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623500416).

506860000 is an abundant number, since it is smaller than the sum of its proper divisors (740140832).

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

506860000 is an equidigital number, since it uses as much as digits as its factorization.

506860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25373 (or 25350 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 506860000 is about 22513.5514746119. The cubic root of 506860000 is about 797.3139078971.

It can be divided in two parts, 50 and 6860000, that multiplied together give a cube (343000000 = 700³).

The spelling of 506860000 in words is "five hundred six million, eight hundred sixty thousand".