505733000 has 128 divisors (see below), whose sum is σ = 1273708800. Its totient is φ = 187264000.

The previous prime is 505732979. The next prime is 505733009. The reversal of 505733000 is 337505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505733009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206791 + ... + 1207209.

It is an arithmetic number, because the mean of its divisors is an integer number (9950850).

Almost surely, 2^505733000 is an apocalyptic number.

505733000 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 505733000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636854400).

505733000 is an abundant number, since it is smaller than the sum of its proper divisors (767975800).

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

505733000 is a wasteful number, since it uses less digits than its factorization.

505733000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 23.

The square root of 505733000 is about 22488.5081763998. The cubic root of 505733000 is about 796.7225285627.

The spelling of 505733000 in words is "five hundred five million, seven hundred thirty-three thousand".