42532800 has 84 divisors (see below), whose sum is σ = 139558776. Its totient is φ = 11340800.

The previous prime is 42532771. The next prime is 42532807. The reversal of 42532800 is 823524.

42532800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42532807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370 + ... + 9230.

It is an arithmetic number, because the mean of its divisors is an integer number (1661414).

Almost surely, 2^42532800 is an apocalyptic number.

42532800 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 42532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69779388).

42532800 is an abundant number, since it is smaller than the sum of its proper divisors (97025976).

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

42532800 is a wasteful number, since it uses less digits than its factorization.

42532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886 (or 8871 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42532800 is about 6521.7175651817. The cubic root of 42532800 is about 349.0663552017.

The spelling of 42532800 in words is "forty-two million, five hundred thirty-two thousand, eight hundred".