42624504 has 144 divisors (see below), whose sum is σ = 130178880. Its totient is φ = 12579840.

The previous prime is 42624499. The next prime is 42624511. The reversal of 42624504 is 40542624.

42624504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 377152 + ... + 377264.

It is an arithmetic number, because the mean of its divisors is an integer number (904020).

Almost surely, 2^42624504 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 42624504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65089440).

42624504 is an abundant number, since it is smaller than the sum of its proper divisors (87554376).

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

42624504 is a wasteful number, since it uses less digits than its factorization.

42624504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42624504 is about 6528.7444428466. The cubic root of 42624504 is about 349.3170464537.

The spelling of 42624504 in words is "forty-two million, six hundred twenty-four thousand, five hundred four".