42000924 has 48 divisors (see below), whose sum is σ = 113073408. Its totient is φ = 11885568.

The previous prime is 42000923. The next prime is 42000941. The reversal of 42000924 is 42900024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 42000924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42000923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6652 + ... + 11324.

It is an arithmetic number, because the mean of its divisors is an integer number (2355696).

Almost surely, 2^42000924 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 42000924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56536704).

42000924 is an abundant number, since it is smaller than the sum of its proper divisors (71072484).

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

42000924 is a wasteful number, since it uses less digits than its factorization.

42000924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 42000924 is about 6480.8119861635. The cubic root of 42000924 is about 347.6052135562.

Adding to 42000924 its reverse (42900024), we get a palindrome (84900948).

It can be divided in two parts, 42000 and 924, that added together give a palindrome (42924).

The spelling of 42000924 in words is "forty-two million, nine hundred twenty-four", and thus it is an aban number.