42482880 has 280 divisors, whose sum is σ = 165963600. Its totient is φ = 10229760.

The previous prime is 42482873. The next prime is 42482903. The reversal of 42482880 is 8828424.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285046 + ... + 285194.

Almost surely, 2^42482880 is an apocalyptic number.

42482880 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 42482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82981800).

42482880 is an abundant number, since it is smaller than the sum of its proper divisors (123480720).

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

42482880 is a wasteful number, since it uses less digits than its factorization.

42482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 42482880 is about 6517.8892288838. The cubic root of 42482880 is about 348.9297373899.

The spelling of 42482880 in words is "forty-two million, four hundred eighty-two thousand, eight hundred eighty".