42444456 has 64 divisors (see below), whose sum is σ = 110937600. Its totient is φ = 13516800.

The previous prime is 42444421. The next prime is 42444473. The reversal of 42444456 is 65444424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65896 + ... + 66536.

It is an arithmetic number, because the mean of its divisors is an integer number (1733400).

Almost surely, 2^42444456 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 42444456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55468800).

42444456 is an abundant number, since it is smaller than the sum of its proper divisors (68493144).

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

42444456 is a wasteful number, since it uses less digits than its factorization.

42444456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 766 counting only the distinct ones).

The product of its digits is 61440, while the sum is 33.

The square root of 42444456 is about 6514.9409820811. The cubic root of 42444456 is about 348.8245081747.

The spelling of 42444456 in words is "forty-two million, four hundred forty-four thousand, four hundred fifty-six".