505057000 has 128 divisors (see below), whose sum is σ = 1409840640. Its totient is φ = 165580800.

The previous prime is 505056989. The next prime is 505057043. The reversal of 505057000 is 750505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159432 + ... + 162568.

It is an arithmetic number, because the mean of its divisors is an integer number (11014380).

Almost surely, 2^505057000 is an apocalyptic number.

505057000 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 505057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704920320).

505057000 is an abundant number, since it is smaller than the sum of its proper divisors (904783640).

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

505057000 is a wasteful number, since it uses less digits than its factorization.

505057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 22.

The square root of 505057000 is about 22473.4732518140. The cubic root of 505057000 is about 796.3673842618.

The spelling of 505057000 in words is "five hundred five million, fifty-seven thousand".