42480768 has 128 divisors (see below), whose sum is σ = 125582400. Its totient is φ = 12615680.

The previous prime is 42480743. The next prime is 42480787. The reversal of 42480768 is 86708424.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375880 + ... + 375992.

Almost surely, 2^42480768 is an apocalyptic number.

42480768 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 42480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62791200).

42480768 is an abundant number, since it is smaller than the sum of its proper divisors (83101632).

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

42480768 is a wasteful number, since it uses less digits than its factorization.

42480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 42480768 is about 6517.7272112294. The cubic root of 42480768 is about 348.9239550464.

The spelling of 42480768 in words is "forty-two million, four hundred eighty thousand, seven hundred sixty-eight".