538036800 has 336 divisors, whose sum is σ = 2056058880. Its totient is φ = 120637440.

The previous prime is 538036691. The next prime is 538036801. The reversal of 538036800 is 8630835.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (538036801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2251081 + ... + 2251319.

Almost surely, 2^538036800 is an apocalyptic number.

538036800 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 538036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028029440).

538036800 is an abundant number, since it is smaller than the sum of its proper divisors (1518022080).

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

538036800 is a wasteful number, since it uses less digits than its factorization.

538036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 538036800 is about 23195.6202762504. The cubic root of 538036800 is about 813.3372450467.

The spelling of 538036800 in words is "five hundred thirty-eight million, thirty-six thousand, eight hundred".