536249200 has 60 divisors (see below), whose sum is σ = 1296696520. Its totient is φ = 213108480.

The previous prime is 536249143. The next prime is 536249221. The reversal of 536249200 is 2942635.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58531 + ... + 67069.

Almost surely, 2^536249200 is an apocalyptic number.

536249200 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 536249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648348260).

536249200 is an abundant number, since it is smaller than the sum of its proper divisors (760447320).

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

536249200 is a wasteful number, since it uses less digits than its factorization.

536249200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 536249200 is about 23157.0550804717. The cubic root of 536249200 is about 812.4354883691.

The spelling of 536249200 in words is "five hundred thirty-six million, two hundred forty-nine thousand, two hundred".