42390792 has 96 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 13051392.

The previous prime is 42390787. The next prime is 42390797. The reversal of 42390792 is 29709324.

It is an interprime number because it is at equal distance from previous prime (42390787) and next prime (42390797).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42390797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71923 + ... + 72509.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 2^42390792 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 42390792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

42390792 is an abundant number, since it is smaller than the sum of its proper divisors (81442008).

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

42390792 is a wasteful number, since it uses less digits than its factorization.

42390792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 42390792 is about 6510.8211463686. The cubic root of 42390792 is about 348.6774358604.

The spelling of 42390792 in words is "forty-two million, three hundred ninety thousand, seven hundred ninety-two".