42914304 has 120 divisors (see below), whose sum is σ = 126606480. Its totient is φ = 13989888.

The previous prime is 42914303. The next prime is 42914357. The reversal of 42914304 is 40341924.

It is not an unprimeable number, because it can be changed into a prime (42914303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308667 + ... + 308805.

It is an arithmetic number, because the mean of its divisors is an integer number (1055054).

Almost surely, 2^42914304 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 42914304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63303240).

42914304 is an abundant number, since it is smaller than the sum of its proper divisors (83692176).

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

42914304 is a wasteful number, since it uses less digits than its factorization.

42914304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42914304 is about 6550.9010067318. The cubic root of 42914304 is about 350.1069169958.

The spelling of 42914304 in words is "forty-two million, nine hundred fourteen thousand, three hundred four".