42388164 has 192 divisors, whose sum is σ = 143001600. Its totient is φ = 10544256.

The previous prime is 42388117. The next prime is 42388217. The reversal of 42388164 is 46188324.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186619 + ... + 186845.

It is an arithmetic number, because the mean of its divisors is an integer number (744800).

Almost surely, 2^42388164 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 42388164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71500800).

42388164 is an abundant number, since it is smaller than the sum of its proper divisors (100613436).

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

42388164 is a wasteful number, since it uses less digits than its factorization.

42388164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 42388164 is about 6510.6193253791. The cubic root of 42388164 is about 348.6702303393.

The spelling of 42388164 in words is "forty-two million, three hundred eighty-eight thousand, one hundred sixty-four".