42730440 has 64 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 11274240.

The previous prime is 42730403. The next prime is 42730459. The reversal of 42730440 is 4403724.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42730440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9805 + ... + 13475.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 2^42730440 is an apocalyptic number.

42730440 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 42730440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

42730440 is an abundant number, since it is smaller than the sum of its proper divisors (86817720).

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

42730440 is a wasteful number, since it uses less digits than its factorization.

42730440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 42730440 is about 6536.8524535896. The cubic root of 42730440 is about 349.6061965329.

The spelling of 42730440 in words is "forty-two million, seven hundred thirty thousand, four hundred forty".