505947200 has 336 divisors, whose sum is σ = 1530705600. Its totient is φ = 162201600.

The previous prime is 505947173. The next prime is 505947209. The reversal of 505947200 is 2749505.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (505947209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5684756 + ... + 5684844.

Almost surely, 2^505947200 is an apocalyptic number.

505947200 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 505947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765352800).

505947200 is an abundant number, since it is smaller than the sum of its proper divisors (1024758400).

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

505947200 is a wasteful number, since it uses less digits than its factorization.

505947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 505947200 is about 22493.2701046335. The cubic root of 505947200 is about 796.8349949416.

The spelling of 505947200 in words is "five hundred five million, nine hundred forty-seven thousand, two hundred".