505315200 has 192 divisors, whose sum is σ = 1792854000. Its totient is φ = 124354560.

The previous prime is 505315193. The next prime is 505315207. The reversal of 505315200 is 2513505.

It is an interprime number because it is at equal distance from previous prime (505315193) and next prime (505315207).

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505315207) 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, 122776 + ... + 126824.

Almost surely, 2^505315200 is an apocalyptic number.

505315200 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 505315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896427000).

505315200 is an abundant number, since it is smaller than the sum of its proper divisors (1287538800).

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

505315200 is a wasteful number, since it uses less digits than its factorization.

505315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 505315200 is about 22479.2170682166. The cubic root of 505315200 is about 796.5030699557.

Adding to 505315200 its reverse (2513505), we get a palindrome (507828705).

It can be divided in two parts, 505315 and 200, that added together give a triangular number (505515 = T₁₀₀₅).

The spelling of 505315200 in words is "five hundred five million, three hundred fifteen thousand, two hundred".