505045200 has 120 divisors (see below), whose sum is σ = 1764949536. Its totient is φ = 122432000.

The previous prime is 505045199. The next prime is 505045207. The reversal of 505045200 is 2540505.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505045207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5931 + ... + 32330.

Almost surely, 2^505045200 is an apocalyptic number.

505045200 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 505045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882474768).

505045200 is an abundant number, since it is smaller than the sum of its proper divisors (1259904336).

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

505045200 is a wasteful number, since it uses less digits than its factorization.

505045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38293 (or 38282 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 505045200 is about 22473.2107185422. The cubic root of 505045200 is about 796.3611821840.

Adding to 505045200 its reverse (2540505), we get a palindrome (507585705).

The spelling of 505045200 in words is "five hundred five million, forty-five thousand, two hundred".