505856000 has 240 divisors, whose sum is σ = 1431262560. Its totient is φ = 176947200.

The previous prime is 505855957. The next prime is 505856023. The reversal of 505856000 is 658505.

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, 26623991 + ... + 26624009.

It is an arithmetic number, because the mean of its divisors is an integer number (5963594).

Almost surely, 2^505856000 is an apocalyptic number.

505856000 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 505856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715631280).

505856000 is an abundant number, since it is smaller than the sum of its proper divisors (925406560).

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

505856000 is an equidigital number, since it uses as much as digits as its factorization.

505856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 505856000 is about 22491.2427402311. The cubic root of 505856000 is about 796.7871139779.

The spelling of 505856000 in words is "five hundred five million, eight hundred fifty-six thousand".