42853440 has 168 divisors, whose sum is σ = 158447232. Its totient is φ = 9784320.

The previous prime is 42853429. The next prime is 42853441. The reversal of 42853440 is 4435824.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 42853398 and 42853407.

It is not an unprimeable number, because it can be changed into a prime (42853441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46585 + ... + 47495.

Almost surely, 2^42853440 is an apocalyptic number.

42853440 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 42853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79223616).

42853440 is an abundant number, since it is smaller than the sum of its proper divisors (115593792).

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

42853440 is a wasteful number, since it uses less digits than its factorization.

42853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 42853440 is about 6546.2538905851. The cubic root of 42853440 is about 349.9413234969.

The spelling of 42853440 in words is "forty-two million, eight hundred fifty-three thousand, four hundred forty".