42858720 has 120 divisors (see below), whose sum is σ = 151301304. Its totient is φ = 11425536.

The previous prime is 42858707. The next prime is 42858733. The reversal of 42858720 is 2785824.

It is a happy number.

42858720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42858707) and next prime (42858733).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11307 + ... + 14613.

Almost surely, 2^42858720 is an apocalyptic number.

42858720 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 42858720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75650652).

42858720 is an abundant number, since it is smaller than the sum of its proper divisors (108442584).

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

42858720 is a wasteful number, since it uses less digits than its factorization.

42858720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 42858720 is about 6546.6571622470. The cubic root of 42858720 is about 349.9556950721.

The spelling of 42858720 in words is "forty-two million, eight hundred fifty-eight thousand, seven hundred twenty".