42504584 has 16 divisors (see below), whose sum is σ = 79785420. Its totient is φ = 21228480.

The previous prime is 42504563. The next prime is 42504587. The reversal of 42504584 is 48540524.

It can be written as a sum of positive squares in 2 ways, for example, as 29702500 + 12802084 = 5450^2 + 3578^2 .

It is a super-2 number, since 2×42504584² = 3613279322026112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42504584.

It is not an unprimeable number, because it can be changed into a prime (42504587) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6314 + ... + 11174.

Almost surely, 2^42504584 is an apocalyptic number.

It is an amenable number.

42504584 is a deficient number, since it is larger than the sum of its proper divisors (37280836).

42504584 is a wasteful number, since it uses less digits than its factorization.

42504584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The square root of 42504584 is about 6519.5539724739. The cubic root of 42504584 is about 348.9891486296.

The spelling of 42504584 in words is "forty-two million, five hundred four thousand, five hundred eighty-four".