42289280 has 64 divisors (see below), whose sum is σ = 110306880. Its totient is φ = 15375360.

The previous prime is 42289277. The next prime is 42289333. The reversal of 42289280 is 8298224.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42289280.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4037 + ... + 10043.

It is an arithmetic number, because the mean of its divisors is an integer number (1723545).

Almost surely, 2^42289280 is an apocalyptic number.

42289280 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 42289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55153440).

42289280 is an abundant number, since it is smaller than the sum of its proper divisors (68017600).

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

42289280 is a wasteful number, since it uses less digits than its factorization.

42289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037 (or 6025 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 42289280 is about 6503.0208365036. The cubic root of 42289280 is about 348.3988908201.

The spelling of 42289280 in words is "forty-two million, two hundred eighty-nine thousand, two hundred eighty".