538576000 has 128 divisors (see below), whose sum is σ = 1373364720. Its totient is φ = 209920000.

The previous prime is 538575941. The next prime is 538576007. The reversal of 538576000 is 675835.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25644096 + 512931904 = 5064^2 + 22648^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (538576007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655590 + ... + 656410.

Almost surely, 2^538576000 is an apocalyptic number.

538576000 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 538576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686682360).

538576000 is an abundant number, since it is smaller than the sum of its proper divisors (834788720).

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

538576000 is an equidigital number, since it uses as much as digits as its factorization.

538576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 538576000 is about 23207.2402495428. The cubic root of 538576000 is about 813.6088528774.

The spelling of 538576000 in words is "five hundred thirty-eight million, five hundred seventy-six thousand".