42444864 has 336 divisors, whose sum is σ = 162153600. Its totient is φ = 10644480.

The previous prime is 42444839. The next prime is 42444877. The reversal of 42444864 is 46844424.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463602 + ... + 1463630.

It is an arithmetic number, because the mean of its divisors is an integer number (482600).

Almost surely, 2^42444864 is an apocalyptic number.

42444864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81076800).

42444864 is an abundant number, since it is smaller than the sum of its proper divisors (119708736).

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

42444864 is a wasteful number, since it uses less digits than its factorization.

42444864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

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

The square root of 42444864 is about 6514.9722946456. The cubic root of 42444864 is about 348.8256258703.

The spelling of 42444864 in words is "forty-two million, four hundred forty-four thousand, eight hundred sixty-four".