42466944 has 128 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 12718080.

The previous prime is 42466927. The next prime is 42466951. The reversal of 42466944 is 44966424.

42466944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 234534 + ... + 234714.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 2^42466944 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 42466944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

42466944 is an abundant number, since it is smaller than the sum of its proper divisors (82283136).

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

42466944 is a wasteful number, since it uses less digits than its factorization.

42466944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 42466944 is about 6516.6666325661. Note that the first 4 decimals coincide. The cubic root of 42466944 is about 348.8861022462.

The spelling of 42466944 in words is "forty-two million, four hundred sixty-six thousand, nine hundred forty-four".