505251200 has 96 divisors (see below), whose sum is σ = 1278902520. Its totient is φ = 197120000.

The previous prime is 505251199. The next prime is 505251217. The reversal of 505251200 is 2152505.

505251200 = T₄₉₄₄ + T₄₉₄₅ + ... + T₄₉₈₄.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129275 + ... + 133125.

Almost surely, 2^505251200 is an apocalyptic number.

505251200 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 505251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639451260).

505251200 is an abundant number, since it is smaller than the sum of its proper divisors (773651320).

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

505251200 is a wasteful number, since it uses less digits than its factorization.

505251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 505251200 is about 22477.7934860164. The cubic root of 505251200 is about 796.4694418699.

The spelling of 505251200 in words is "five hundred five million, two hundred fifty-one thousand, two hundred".