42958720 has 128 divisors (see below), whose sum is σ = 120637440. Its totient is φ = 14321664.

The previous prime is 42958661. The next prime is 42958771. The reversal of 42958720 is 2785924.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 42958720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192529 + ... + 192751.

It is an arithmetic number, because the mean of its divisors is an integer number (942480).

Almost surely, 2^42958720 is an apocalyptic number.

42958720 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 42958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60318720).

42958720 is an abundant number, since it is smaller than the sum of its proper divisors (77678720).

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

42958720 is a wasteful number, since it uses less digits than its factorization.

42958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 42958720 is about 6554.2901980306. The cubic root of 42958720 is about 350.2276614068.

The spelling of 42958720 in words is "forty-two million, nine hundred fifty-eight thousand, seven hundred twenty".