536803200 has 480 divisors, whose sum is σ = 2104311000. Its totient is φ = 134369280.

The previous prime is 536803177. The next prime is 536803213. The reversal of 536803200 is 2308635.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4924746 + ... + 4924854.

Almost surely, 2^536803200 is an apocalyptic number.

536803200 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 536803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052155500).

536803200 is an abundant number, since it is smaller than the sum of its proper divisors (1567507800).

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

536803200 is a wasteful number, since it uses less digits than its factorization.

536803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 536803200 is about 23169.0137899739. The cubic root of 536803200 is about 812.7151682601.

The spelling of 536803200 in words is "five hundred thirty-six million, eight hundred three thousand, two hundred".