42048900 has 108 divisors (see below), whose sum is σ = 138793200. Its totient is φ = 10618560.

The previous prime is 42048893. The next prime is 42048901. The reversal of 42048900 is 984024.

It is not an unprimeable number, because it can be changed into a prime (42048901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15871 + ... + 18329.

Almost surely, 2^42048900 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 42048900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69396600).

42048900 is an abundant number, since it is smaller than the sum of its proper divisors (96744300).

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

42048900 is a wasteful number, since it uses less digits than its factorization.

42048900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42048900 is about 6484.5123178231. The cubic root of 42048900 is about 347.7375151061.

The spelling of 42048900 in words is "forty-two million, forty-eight thousand, nine hundred".