538138800 has 180 divisors, whose sum is σ = 1891040424. Its totient is φ = 141696000.

The previous prime is 538138771. The next prime is 538138801. The reversal of 538138800 is 8831835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (538138801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 297900 + ... + 299700.

Almost surely, 2^538138800 is an apocalyptic number.

538138800 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 538138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945520212).

538138800 is an abundant number, since it is smaller than the sum of its proper divisors (1352901624).

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

538138800 is a wasteful number, since it uses less digits than its factorization.

538138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 538138800 is about 23197.8188629880. The cubic root of 538138800 is about 813.3886387786.

The spelling of 538138800 in words is "five hundred thirty-eight million, one hundred thirty-eight thousand, eight hundred".