536244800 has 336 divisors, whose sum is σ = 1693224960. Its totient is φ = 162570240.

The previous prime is 536244769. The next prime is 536244803. The reversal of 536244800 is 8442635.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (536244803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4222337 + ... + 4222463.

It is an arithmetic number, because the mean of its divisors is an integer number (5039360).

Almost surely, 2^536244800 is an apocalyptic number.

536244800 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 536244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846612480).

536244800 is an abundant number, since it is smaller than the sum of its proper divisors (1156980160).

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

536244800 is a wasteful number, since it uses less digits than its factorization.

536244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 536244800 is about 23156.9600768322. The cubic root of 536244800 is about 812.4332663139.

The spelling of 536244800 in words is "five hundred thirty-six million, two hundred forty-four thousand, eight hundred".