538095600 has 360 divisors, whose sum is σ = 2163587712. Its totient is φ = 121305600.

The previous prime is 538095583. The next prime is 538095601. The reversal of 538095600 is 6590835.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538095601) 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 71 ways as a sum of consecutive naturals, for example, 3301119 + ... + 3301281.

Almost surely, 2^538095600 is an apocalyptic number.

538095600 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 538095600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081793856).

538095600 is an abundant number, since it is smaller than the sum of its proper divisors (1625492112).

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

538095600 is a wasteful number, since it uses less digits than its factorization.

538095600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 538095600 is about 23196.8877222786. The cubic root of 538095600 is about 813.3668728144.

The spelling of 538095600 in words is "five hundred thirty-eight million, ninety-five thousand, six hundred".