505267200 has 528 divisors, whose sum is σ = 2010317760. Its totient is φ = 123863040.

The previous prime is 505267177. The next prime is 505267201. The reversal of 505267200 is 2762505.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (505267201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11750379 + ... + 11750421.

It is an arithmetic number, because the mean of its divisors is an integer number (3807420).

Almost surely, 2^505267200 is an apocalyptic number.

505267200 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 505267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005158880).

505267200 is an abundant number, since it is smaller than the sum of its proper divisors (1505050560).

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

505267200 is a wasteful number, since it uses less digits than its factorization.

505267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 505267200 is about 22478.1493900187. The cubic root of 505267200 is about 796.4778491575.

The spelling of 505267200 in words is "five hundred five million, two hundred sixty-seven thousand, two hundred".