538171200 has 504 divisors, whose sum is σ = 2309286720. Its totient is φ = 116121600.

The previous prime is 538171121. The next prime is 538171213. The reversal of 538171200 is 2171835.

538171200 is a `hidden beast` number, since 538 + 1 + 7 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1915060 + ... + 1915340.

Almost surely, 2^538171200 is an apocalyptic number.

538171200 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 538171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154643360).

538171200 is an abundant number, since it is smaller than the sum of its proper divisors (1771115520).

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

538171200 is a wasteful number, since it uses less digits than its factorization.

538171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 538171200 is about 23198.5171939932. The cubic root of 538171200 is about 813.4049624873.

The spelling of 538171200 in words is "five hundred thirty-eight million, one hundred seventy-one thousand, two hundred".