42449472 has 84 divisors (see below), whose sum is σ = 131056380. Its totient is φ = 13059072.

The previous prime is 42449443. The next prime is 42449521. The reversal of 42449472 is 27494424.

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 34292736 = 2856^2 + 5856^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4654 + ... + 10322.

It is an arithmetic number, because the mean of its divisors is an integer number (1560195).

Almost surely, 2^42449472 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 42449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65528190).

42449472 is an abundant number, since it is smaller than the sum of its proper divisors (88606908).

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

42449472 is a wasteful number, since it uses less digits than its factorization.

42449472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5687 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42449472 is about 6515.3259319853. The cubic root of 42449472 is about 348.8382487585.

The spelling of 42449472 in words is "forty-two million, four hundred forty-nine thousand, four hundred seventy-two".