42648444 has 144 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 12773376.

The previous prime is 42648443. The next prime is 42648451. The reversal of 42648444 is 44484624.

42648444 is a `hidden beast` number, since 4 + 2 + 648 + 4 + 4 + 4 = 666.

42648444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42648444² = 3637779551242272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42648399 and 42648408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42648443) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 479152 + ... + 479240.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^42648444 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 42648444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

42648444 is an abundant number, since it is smaller than the sum of its proper divisors (81184356).

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

42648444 is a wasteful number, since it uses less digits than its factorization.

42648444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 42648444 is about 6530.5776161072. The cubic root of 42648444 is about 349.3824320431.

The spelling of 42648444 in words is "forty-two million, six hundred forty-eight thousand, four hundred forty-four".