42624432 has 120 divisors (see below), whose sum is σ = 126219600. Its totient is φ = 13407744.

The previous prime is 42624409. The next prime is 42624437. The reversal of 42624432 is 23442624.

42624432 is a `hidden beast` number, since 4 + 2 + 624 + 4 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42624396 and 42624405.

It is not an unprimeable number, because it can be changed into a prime (42624437) by changing a digit.

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, 246298 + ... + 246470.

It is an arithmetic number, because the mean of its divisors is an integer number (1051830).

Almost surely, 2^42624432 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 42624432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63109800).

42624432 is an abundant number, since it is smaller than the sum of its proper divisors (83595168).

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

42624432 is a wasteful number, since it uses less digits than its factorization.

42624432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

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

The square root of 42624432 is about 6528.7389287672. The cubic root of 42624432 is about 349.3168497684.

The spelling of 42624432 in words is "forty-two million, six hundred twenty-four thousand, four hundred thirty-two".