42302880 has 144 divisors (see below), whose sum is σ = 149483880. Its totient is φ = 10881024.

The previous prime is 42302863. The next prime is 42302881. The reversal of 42302880 is 8820324.

It can be written as a sum of positive squares in 4 ways, for example, as 19607184 + 22695696 = 4428^2 + 4764^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (42302881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41254 + ... + 42266.

Almost surely, 2^42302880 is an apocalyptic number.

42302880 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 42302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74741940).

42302880 is an abundant number, since it is smaller than the sum of its proper divisors (107181000).

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

42302880 is a wasteful number, since it uses less digits than its factorization.

42302880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42302880 is about 6504.0664203251. The cubic root of 42302880 is about 348.4362345400.

The spelling of 42302880 in words is "forty-two million, three hundred two thousand, eight hundred eighty".