505542300 has 144 divisors (see below), whose sum is σ = 1564399872. Its totient is φ = 125734400.

The previous prime is 505542299. The next prime is 505542307. The reversal of 505542300 is 3245505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505542307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282007 + ... + 283793.

It is an arithmetic number, because the mean of its divisors is an integer number (10863888).

Almost surely, 2^505542300 is an apocalyptic number.

505542300 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 505542300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782199936).

505542300 is an abundant number, since it is smaller than the sum of its proper divisors (1058857572).

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

505542300 is a wasteful number, since it uses less digits than its factorization.

505542300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 505542300 is about 22484.2678333096. The cubic root of 505542300 is about 796.6223742077.

Adding to 505542300 its reverse (3245505), we get a palindrome (508787805).

The spelling of 505542300 in words is "five hundred five million, five hundred forty-two thousand, three hundred".