42423624 has 96 divisors (see below), whose sum is σ = 120556800. Its totient is φ = 13461120.

The previous prime is 42423617. The next prime is 42423631. The reversal of 42423624 is 42632424.

42423624 is a `hidden beast` number, since 424 + 236 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42423617) and next prime (42423631).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185142 + ... + 185370.

It is an arithmetic number, because the mean of its divisors is an integer number (1255800).

Almost surely, 2^42423624 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 42423624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60278400).

42423624 is an abundant number, since it is smaller than the sum of its proper divisors (78133176).

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

42423624 is a wasteful number, since it uses less digits than its factorization.

42423624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 42423624 is about 6513.3419993119. The cubic root of 42423624 is about 348.7674304311.

The spelling of 42423624 in words is "forty-two million, four hundred twenty-three thousand, six hundred twenty-four".