42588000 has 432 divisors, whose sum is σ = 187046496. Its totient is φ = 8985600.

The previous prime is 42587983. The next prime is 42588011. The reversal of 42588000 is 88524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3275994 + ... + 3276006.

It is an arithmetic number, because the mean of its divisors is an integer number (432978).

Almost surely, 2^42588000 is an apocalyptic number.

42588000 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 42588000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93523248).

42588000 is an abundant number, since it is smaller than the sum of its proper divisors (144458496).

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

42588000 is a wasteful number, since it uses less digits than its factorization.

42588000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 42588000 is about 6525.9482069658. The cubic root of 42588000 is about 349.2172985766.

The spelling of 42588000 in words is "forty-two million, five hundred eighty-eight thousand".