42304720 has 40 divisors (see below), whose sum is σ = 99982440. Its totient is φ = 16642560.

The previous prime is 42304709. The next prime is 42304729. The reversal of 42304720 is 2740324.

It can be written as a sum of positive squares in 4 ways, for example, as 2704 + 42302016 = 52^2 + 6504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 42304691 and 42304700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42304729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546 + ... + 9214.

It is an arithmetic number, because the mean of its divisors is an integer number (2499561).

Almost surely, 2^42304720 is an apocalyptic number.

42304720 is a gapful number since it is divisible by the number (40) 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 42304720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49991220).

42304720 is an abundant number, since it is smaller than the sum of its proper divisors (57677720).

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

42304720 is a wasteful number, since it uses less digits than its factorization.

42304720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743 (or 8737 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 42304720 is about 6504.2078687570. The cubic root of 42304720 is about 348.4412863109.

The spelling of 42304720 in words is "forty-two million, three hundred four thousand, seven hundred twenty".