42465984 has 56 divisors (see below), whose sum is σ = 122578368. Its totient is φ = 12867840.

The previous prime is 42465979. The next prime is 42465991. The reversal of 42465984 is 48956424.

42465984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 7942 + ... + 12165.

Almost surely, 2^42465984 is an apocalyptic number.

42465984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42465984 is an abundant number, since it is smaller than the sum of its proper divisors (80112384).

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

42465984 is a wasteful number, since it uses less digits than its factorization.

42465984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20133 (or 20123 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 42465984 is about 6516.5929748604. The cubic root of 42465984 is about 348.8834732745.

The spelling of 42465984 in words is "forty-two million, four hundred sixty-five thousand, nine hundred eighty-four".