505343800 has 72 divisors (see below), whose sum is σ = 1272340440. Its totient is φ = 186576000.

The previous prime is 505343767. The next prime is 505343807. The reversal of 505343800 is 8343505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505343807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26325 + ... + 41275.

It is an arithmetic number, because the mean of its divisors is an integer number (17671395).

Almost surely, 2^505343800 is an apocalyptic number.

505343800 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 505343800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636170220).

505343800 is an abundant number, since it is smaller than the sum of its proper divisors (766996640).

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

505343800 is a wasteful number, since it uses less digits than its factorization.

505343800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14993 (or 14971 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 505343800 is about 22479.8532023677. The cubic root of 505343800 is about 796.5180965886.

The spelling of 505343800 in words is "five hundred five million, three hundred forty-three thousand, eight hundred".