42258384 has 180 divisors, whose sum is σ = 141409476. Its totient is φ = 11741184.

The previous prime is 42258367. The next prime is 42258397. The reversal of 42258384 is 48385224.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 29811600 = 3528^2 + 5460^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373912 + ... + 374024.

Almost surely, 2^42258384 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 42258384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70704738).

42258384 is an abundant number, since it is smaller than the sum of its proper divisors (99151092).

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

42258384 is a wasteful number, since it uses less digits than its factorization.

42258384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 42258384 is about 6500.6448910858. The cubic root of 42258384 is about 348.3140249110.

The spelling of 42258384 in words is "forty-two million, two hundred fifty-eight thousand, three hundred eighty-four".