538680800 has 288 divisors, whose sum is σ = 1619896320. Its totient is φ = 170956800.

The previous prime is 538680781. The next prime is 538680803. The reversal of 538680800 is 8086835.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538680803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5034347 + ... + 5034453.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^538680800 is an apocalyptic number.

538680800 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 538680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809948160).

538680800 is an abundant number, since it is smaller than the sum of its proper divisors (1081215520).

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

538680800 is a wasteful number, since it uses less digits than its factorization.

538680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 538680800 is about 23209.4980557530. The cubic root of 538680800 is about 813.6616220798.

The spelling of 538680800 in words is "five hundred thirty-eight million, six hundred eighty thousand, eight hundred".