538930080 has 144 divisors (see below), whose sum is σ = 1980636840. Its totient is φ = 132655104.

The previous prime is 538930031. The next prime is 538930103. The reversal of 538930080 is 80039835.

It can be written as a sum of positive squares in 4 ways, for example, as 439489296 + 99440784 = 20964^2 + 9972^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×538930080² = 580891262257612800, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4326 + ... + 33114.

Almost surely, 2^538930080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990318420).

538930080 is an abundant number, since it is smaller than the sum of its proper divisors (1441706760).

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

538930080 is a wasteful number, since it uses less digits than its factorization.

538930080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28823 (or 28812 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 538930080 is about 23214.8676498489. The cubic root of 538930080 is about 813.7871127785.

The spelling of 538930080 in words is "five hundred thirty-eight million, nine hundred thirty thousand, eighty".