42724464 has 80 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 13298688.

The previous prime is 42724459. The next prime is 42724469. The reversal of 42724464 is 46442724.

42724464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42724459) and next prime (42724469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42724469) 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 15 ways as a sum of consecutive naturals, for example, 71752 + ... + 72344.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^42724464 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 42724464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

42724464 is an abundant number, since it is smaller than the sum of its proper divisors (75125136).

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

42724464 is a wasteful number, since it uses less digits than its factorization.

42724464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its digits is 43008, while the sum is 33.

The square root of 42724464 is about 6536.3953368810. The cubic root of 42724464 is about 349.5898978940.

The spelling of 42724464 in words is "forty-two million, seven hundred twenty-four thousand, four hundred sixty-four".