42460080 has 160 divisors (see below), whose sum is σ = 146657280. Its totient is φ = 10091520.

The previous prime is 42460073. The next prime is 42460081. The reversal of 42460080 is 8006424.

42460080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42460080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42460081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 96501 + ... + 96939.

It is an arithmetic number, because the mean of its divisors is an integer number (916608).

Almost surely, 2^42460080 is an apocalyptic number.

42460080 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 42460080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73328640).

42460080 is an abundant number, since it is smaller than the sum of its proper divisors (104197200).

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

42460080 is a wasteful number, since it uses less digits than its factorization.

42460080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42460080 is about 6516.1399616644. The cubic root of 42460080 is about 348.8673042273.

The spelling of 42460080 in words is "forty-two million, four hundred sixty thousand, eighty".