42744324 has 96 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 11169792.

The previous prime is 42744313. The next prime is 42744329. The reversal of 42744324 is 42344724.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 42744291 and 42744300.

It is not an unprimeable number, because it can be changed into a prime (42744329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52432 + ... + 53240.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^42744324 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 42744324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

42744324 is an abundant number, since it is smaller than the sum of its proper divisors (81360636).

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

42744324 is a wasteful number, since it uses less digits than its factorization.

42744324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its digits is 21504, while the sum is 30.

The square root of 42744324 is about 6537.9143463340. The cubic root of 42744324 is about 349.6440571838.

The spelling of 42744324 in words is "forty-two million, seven hundred forty-four thousand, three hundred twenty-four".