42945440 has 48 divisors (see below), whose sum is σ = 102241440. Its totient is φ = 17045760.

The previous prime is 42945421. The next prime is 42945443. The reversal of 42945440 is 4454924.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42945397 and 42945406.

It is not an unprimeable number, because it can be changed into a prime (42945443) 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, 21275 + ... + 23205.

It is an arithmetic number, because the mean of its divisors is an integer number (2130030).

Almost surely, 2^42945440 is an apocalyptic number.

42945440 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 42945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51120720).

42945440 is an abundant number, since it is smaller than the sum of its proper divisors (59296000).

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

42945440 is a wasteful number, since it uses less digits than its factorization.

42945440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 42945440 is about 6553.2770428237. The cubic root of 42945440 is about 350.1915685973.

The spelling of 42945440 in words is "forty-two million, nine hundred forty-five thousand, four hundred forty".