505324800 has 324 divisors, whose sum is σ = 1871519104. Its totient is φ = 129945600.

The previous prime is 505324783. The next prime is 505324801. The reversal of 505324800 is 8423505.

505324800 is a `hidden beast` number, since 50 + 532 + 4 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505324801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1785459 + ... + 1785741.

Almost surely, 2^505324800 is an apocalyptic number.

505324800 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 505324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935759552).

505324800 is an abundant number, since it is smaller than the sum of its proper divisors (1366194304).

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

505324800 is a wasteful number, since it uses less digits than its factorization.

505324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 505324800 is about 22479.4305977709. The cubic root of 505324800 is about 796.5081139237.

The spelling of 505324800 in words is "five hundred five million, three hundred twenty-four thousand, eight hundred".