42388920 has 288 divisors, whose sum is σ = 168058800. Its totient is φ = 9580032.

The previous prime is 42388919. The next prime is 42388921. The reversal of 42388920 is 2988324.

42388920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42388919) and next prime (42388921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42388921) 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 71 ways as a sum of consecutive naturals, for example, 476236 + ... + 476324.

Almost surely, 2^42388920 is an apocalyptic number.

42388920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42388920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84029400).

42388920 is an abundant number, since it is smaller than the sum of its proper divisors (125669880).

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

42388920 is a wasteful number, since it uses less digits than its factorization.

42388920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 42388920 is about 6510.6773841130. The cubic root of 42388920 is about 348.6723031910.

The spelling of 42388920 in words is "forty-two million, three hundred eighty-eight thousand, nine hundred twenty".