506057200 has 60 divisors (see below), whose sum is σ = 1326341448. Its totient is φ = 184019200.

The previous prime is 506057183. The next prime is 506057203. The reversal of 506057200 is 2750605.

It is a happy number.

It is a super-3 number, since 3×506057200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506057203) 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, 53107 + ... + 61906.

Almost surely, 2^506057200 is an apocalyptic number.

506057200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506057200 is an abundant number, since it is smaller than the sum of its proper divisors (820284248).

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

506057200 is a wasteful number, since it uses less digits than its factorization.

506057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115042 (or 115031 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 506057200 is about 22495.7151475564. The cubic root of 506057200 is about 796.8927384492.

The spelling of 506057200 in words is "five hundred six million, fifty-seven thousand, two hundred".