42784320 has 112 divisors (see below), whose sum is σ = 139281408. Its totient is φ = 11120640.

The previous prime is 42784319. The next prime is 42784327. The reversal of 42784320 is 2348724.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42784327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38817 + ... + 39903.

It is an arithmetic number, because the mean of its divisors is an integer number (1243584).

Almost surely, 2^42784320 is an apocalyptic number.

42784320 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 42784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69640704).

42784320 is an abundant number, since it is smaller than the sum of its proper divisors (96497088).

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

42784320 is a wasteful number, since it uses less digits than its factorization.

42784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 42784320 is about 6540.9724047729. The cubic root of 42784320 is about 349.7530775396.

The spelling of 42784320 in words is "forty-two million, seven hundred eighty-four thousand, three hundred twenty".