538854800 has 240 divisors, whose sum is σ = 1511153280. Its totient is φ = 182784000.

The previous prime is 538854793. The next prime is 538854809. The reversal of 538854800 is 8458835.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (538854809) 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, 5231549 + ... + 5231651.

It is an arithmetic number, because the mean of its divisors is an integer number (6296472).

Almost surely, 2^538854800 is an apocalyptic number.

538854800 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 538854800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755576640).

538854800 is an abundant number, since it is smaller than the sum of its proper divisors (972298480).

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

538854800 is a wasteful number, since it uses less digits than its factorization.

538854800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 538854800 is about 23213.2462184848. The cubic root of 538854800 is about 813.7492199555.

It can be divided in two parts, 53885 and 4800, that added together give a palindrome (58685).

The spelling of 538854800 in words is "five hundred thirty-eight million, eight hundred fifty-four thousand, eight hundred".