42538580 has 48 divisors (see below), whose sum is σ = 102525696. Its totient is φ = 14522880.

The previous prime is 42538571. The next prime is 42538583. The reversal of 42538580 is 8583524.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 42538580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42538583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43052 + ... + 44028.

It is an arithmetic number, because the mean of its divisors is an integer number (2135952).

Almost surely, 2^42538580 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 42538580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51262848).

42538580 is an abundant number, since it is smaller than the sum of its proper divisors (59987116).

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

42538580 is a wasteful number, since it uses less digits than its factorization.

42538580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 42538580 is about 6522.1606849264. The cubic root of 42538580 is about 349.0821666236.

The spelling of 42538580 in words is "forty-two million, five hundred thirty-eight thousand, five hundred eighty".