42420924 has 144 divisors (see below), whose sum is σ = 137958912. Its totient is φ = 10682496.

The previous prime is 42420923. The next prime is 42420943. The reversal of 42420924 is 42902424.

42420924 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 not an unprimeable number, because it can be changed into a prime (42420923) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 75067 + ... + 75629.

It is an arithmetic number, because the mean of its divisors is an integer number (958048).

Almost surely, 2^42420924 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 42420924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68979456).

42420924 is an abundant number, since it is smaller than the sum of its proper divisors (95537988).

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

42420924 is a wasteful number, since it uses less digits than its factorization.

42420924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42420924 is about 6513.1347291454. The cubic root of 42420924 is about 348.7600313143.

The spelling of 42420924 in words is "forty-two million, four hundred twenty thousand, nine hundred twenty-four".