42413580 has 144 divisors (see below), whose sum is σ = 145087488. Its totient is φ = 9936000.

The previous prime is 42413563. The next prime is 42413593. The reversal of 42413580 is 8531424.

42413580 is a `hidden beast` number, since 42 + 41 + 3 + 580 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61035 + ... + 61725.

It is an arithmetic number, because the mean of its divisors is an integer number (1007552).

Almost surely, 2^42413580 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 42413580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72543744).

42413580 is an abundant number, since it is smaller than the sum of its proper divisors (102673908).

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

42413580 is a wasteful number, since it uses less digits than its factorization.

42413580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42413580 is about 6512.5709209190. The cubic root of 42413580 is about 348.7399041283.

The spelling of 42413580 in words is "forty-two million, four hundred thirteen thousand, five hundred eighty".