42548480 has 72 divisors (see below), whose sum is σ = 109799592. Its totient is φ = 15704064.

The previous prime is 42548449. The next prime is 42548509. The reversal of 42548480 is 8484524.

It can be written as a sum of positive squares in 4 ways, for example, as 350464 + 42198016 = 592^2 + 6496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42548480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15362 + ... + 17918.

Almost surely, 2^42548480 is an apocalyptic number.

42548480 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 42548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54899796).

42548480 is an abundant number, since it is smaller than the sum of its proper divisors (67251112).

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

42548480 is a wasteful number, since it uses less digits than its factorization.

42548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 42548480 is about 6522.9195917166. The cubic root of 42548480 is about 349.1092451438.

The spelling of 42548480 in words is "forty-two million, five hundred forty-eight thousand, four hundred eighty".