538300800 has 144 divisors (see below), whose sum is σ = 1920883380. Its totient is φ = 143539200.

The previous prime is 538300787. The next prime is 538300859. The reversal of 538300800 is 8003835.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19455 + ... + 38145.

Almost surely, 2^538300800 is an apocalyptic number.

538300800 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 538300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960441690).

538300800 is an abundant number, since it is smaller than the sum of its proper divisors (1382582580).

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

538300800 is a wasteful number, since it uses less digits than its factorization.

538300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18721 (or 18701 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 538300800 is about 23201.3103078253. The cubic root of 538300800 is about 813.4702507711.

The spelling of 538300800 in words is "five hundred thirty-eight million, three hundred thousand, eight hundred".