42481584 has 50 divisors (see below), whose sum is σ = 122957780. Its totient is φ = 14160096.

The previous prime is 42481583. The next prime is 42481613. The reversal of 42481584 is 48518424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42481583) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 15094 + ... + 17685.

Almost surely, 2^42481584 is an apocalyptic number.

It is an amenable number.

42481584 is an abundant number, since it is smaller than the sum of its proper divisors (80476196).

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

42481584 is a wasteful number, since it uses less digits than its factorization.

42481584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32799 (or 32784 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 42481584 is about 6517.7898094369. The cubic root of 42481584 is about 348.9261891564.

It can be divided in two parts, 4248 and 1584, that added together give a cube (5832 = 18³).

The spelling of 42481584 in words is "forty-two million, four hundred eighty-one thousand, five hundred eighty-four".