42548800 has 168 divisors, whose sum is σ = 124724160. Its totient is φ = 13977600.

The previous prime is 42548797. The next prime is 42548813. The reversal of 42548800 is 884524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324735 + ... + 324865.

Almost surely, 2^42548800 is an apocalyptic number.

42548800 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 42548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62362080).

42548800 is an abundant number, since it is smaller than the sum of its proper divisors (82175360).

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

42548800 is a wasteful number, since it uses less digits than its factorization.

42548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 42548800 is about 6522.9441205640. The cubic root of 42548800 is about 349.1101203390.

The spelling of 42548800 in words is "forty-two million, five hundred forty-eight thousand, eight hundred".