536785200 has 540 divisors, whose sum is σ = 2307207240. Its totient is φ = 114831360.

The previous prime is 536785141. The next prime is 536785231. The reversal of 536785200 is 2587635.

536785200 is a `hidden beast` number, since 536 + 78 + 52 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2998711 + ... + 2998889.

It is an arithmetic number, because the mean of its divisors is an integer number (4272606).

Almost surely, 2^536785200 is an apocalyptic number.

536785200 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 536785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153603620).

536785200 is an abundant number, since it is smaller than the sum of its proper divisors (1770422040).

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

536785200 is a wasteful number, since it uses less digits than its factorization.

536785200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 536785200 is about 23168.6253368645. The cubic root of 536785200 is about 812.7060842131.

The spelling of 536785200 in words is "five hundred thirty-six million, seven hundred eighty-five thousand, two hundred".