42460128 has 72 divisors (see below), whose sum is σ = 121375800. Its totient is φ = 14079744.

The previous prime is 42460109. The next prime is 42460141. The reversal of 42460128 is 82106424.

42460128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 108958 + ... + 109346.

It is an arithmetic number, because the mean of its divisors is an integer number (1685775).

Almost surely, 2^42460128 is an apocalyptic number.

42460128 is a gapful number since it is divisible by the number (48) 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 42460128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60687900).

42460128 is an abundant number, since it is smaller than the sum of its proper divisors (78915672).

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

42460128 is a wasteful number, since it uses less digits than its factorization.

42460128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42460128 is about 6516.1436448255. The cubic root of 42460128 is about 348.8674356891.

The spelling of 42460128 in words is "forty-two million, four hundred sixty thousand, one hundred twenty-eight".