42580900 has 72 divisors (see below), whose sum is σ = 98917280. Its totient is φ = 15863040.

The previous prime is 42580897. The next prime is 42580913. The reversal of 42580900 is 908524.

It is a happy number.

42580900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 9.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 138547 + ... + 138853.

Almost surely, 2^42580900 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 42580900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49458640).

42580900 is an abundant number, since it is smaller than the sum of its proper divisors (56336380).

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

42580900 is a wasteful number, since it uses less digits than its factorization.

42580900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 42580900 is about 6525.4042020399. The cubic root of 42580900 is about 349.1978910704.

The spelling of 42580900 in words is "forty-two million, five hundred eighty thousand, nine hundred".