42884480 has 64 divisors (see below), whose sum is σ = 105349680. Its totient is φ = 16680960.

The previous prime is 42884477. The next prime is 42884503. The reversal of 42884480 is 8448824.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22775 + ... + 24585.

Almost surely, 2^42884480 is an apocalyptic number.

42884480 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 42884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52674840).

42884480 is an abundant number, since it is smaller than the sum of its proper divisors (62465200).

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

42884480 is a wasteful number, since it uses less digits than its factorization.

42884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The square root of 42884480 is about 6548.6242830078. The cubic root of 42884480 is about 350.0257940174.

The spelling of 42884480 in words is "forty-two million, eight hundred eighty-four thousand, four hundred eighty".