505834800 has 120 divisors (see below), whose sum is σ = 1658209344. Its totient is φ = 131738880.

The previous prime is 505834787. The next prime is 505834811. The reversal of 505834800 is 8438505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46699 + ... + 56501.

Almost surely, 2^505834800 is an apocalyptic number.

505834800 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 505834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829104672).

505834800 is an abundant number, since it is smaller than the sum of its proper divisors (1152374544).

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

505834800 is a wasteful number, since it uses less digits than its factorization.

505834800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9867 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 505834800 is about 22490.7714407488. The cubic root of 505834800 is about 796.7759829296.

The spelling of 505834800 in words is "five hundred five million, eight hundred thirty-four thousand, eight hundred".