42088500 has 144 divisors (see below), whose sum is σ = 136281600. Its totient is φ = 10929600.

The previous prime is 42088493. The next prime is 42088507. The reversal of 42088500 is 588024.

It is an interprime number because it is at equal distance from previous prime (42088493) and next prime (42088507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42088507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211401 + ... + 211599.

It is an arithmetic number, because the mean of its divisors is an integer number (946400).

Almost surely, 2^42088500 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 42088500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68140800).

42088500 is an abundant number, since it is smaller than the sum of its proper divisors (94193100).

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

42088500 is a wasteful number, since it uses less digits than its factorization.

42088500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

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

The square root of 42088500 is about 6487.5650285758. The cubic root of 42088500 is about 347.8466426937.

The spelling of 42088500 in words is "forty-two million, eighty-eight thousand, five hundred".