42958240 has 96 divisors (see below), whose sum is σ = 115153920. Its totient is φ = 15012864.

The previous prime is 42958217. The next prime is 42958243. The reversal of 42958240 is 4285924.

It is a junction number, because it is equal to n+sod(n) for n = 42958196 and 42958205.

It is not an unprimeable number, because it can be changed into a prime (42958243) 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, 38977 + ... + 40063.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 2^42958240 is an apocalyptic number.

42958240 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 42958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57576960).

42958240 is an abundant number, since it is smaller than the sum of its proper divisors (72195680).

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

42958240 is a wasteful number, since it uses less digits than its factorization.

42958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 42958240 is about 6554.2535806909. The cubic root of 42958240 is about 350.2263569770.

The spelling of 42958240 in words is "forty-two million, nine hundred fifty-eight thousand, two hundred forty".