42384512 has 32 divisors (see below), whose sum is σ = 85089420. Its totient is φ = 21028864.

The previous prime is 42384509. The next prime is 42384521. The reversal of 42384512 is 21548324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37258816 + 5125696 = 6104^2 + 2264^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16328 + ... + 18744.

Almost surely, 2^42384512 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 42384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42544710).

42384512 is an abundant number, since it is smaller than the sum of its proper divisors (42704908).

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

42384512 is a wasteful number, since it uses less digits than its factorization.

42384512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2556 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 42384512 is about 6510.3388544683. The cubic root of 42384512 is about 348.6602166930.

The spelling of 42384512 in words is "forty-two million, three hundred eighty-four thousand, five hundred twelve".