536323200 has 384 divisors, whose sum is σ = 2112721920. Its totient is φ = 116920320.

The previous prime is 536323181. The next prime is 536323213. The reversal of 536323200 is 2323635.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1545427 + ... + 1545773.

It is an arithmetic number, because the mean of its divisors is an integer number (5501880).

Almost surely, 2^536323200 is an apocalyptic number.

536323200 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 536323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056360960).

536323200 is an abundant number, since it is smaller than the sum of its proper divisors (1576398720).

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

536323200 is a wasteful number, since it uses less digits than its factorization.

536323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 536323200 is about 23158.6528105587. The cubic root of 536323200 is about 812.4728574759.

Adding to 536323200 its reverse (2323635), we get a palindrome (538646835).

The spelling of 536323200 in words is "five hundred thirty-six million, three hundred twenty-three thousand, two hundred".