505413200 has 60 divisors (see below), whose sum is σ = 1227985020. Its totient is φ = 199879680.

The previous prime is 505413199. The next prime is 505413203. The reversal of 505413200 is 2314505.

It can be written as a sum of positive squares in 6 ways, for example, as 602176 + 504811024 = 776^2 + 22468^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505413203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28502 + ... + 42698.

It is an arithmetic number, because the mean of its divisors is an integer number (20466417).

Almost surely, 2^505413200 is an apocalyptic number.

505413200 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 505413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613992510).

505413200 is an abundant number, since it is smaller than the sum of its proper divisors (722571820).

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

505413200 is a wasteful number, since it uses less digits than its factorization.

505413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14304 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 505413200 is about 22481.3967537607. The cubic root of 505413200 is about 796.5545574598.

Adding to 505413200 its reverse (2314505), we get a palindrome (507727705).

The spelling of 505413200 in words is "five hundred five million, four hundred thirteen thousand, two hundred".