42402880 has 56 divisors (see below), whose sum is σ = 108749592. Its totient is φ = 15654912.

The previous prime is 42402863. The next prime is 42402907. The reversal of 42402880 is 8820424.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 40043584 = 1536^2 + 6328^2 .

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, 937 + ... + 9256.

It is an arithmetic number, because the mean of its divisors is an integer number (1941957).

Almost surely, 2^42402880 is an apocalyptic number.

42402880 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 42402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54374796).

42402880 is an abundant number, since it is smaller than the sum of its proper divisors (66346712).

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

42402880 is a wasteful number, since it uses less digits than its factorization.

42402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10223 (or 10213 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 42402880 is about 6511.7493809268. The cubic root of 42402880 is about 348.7105752293.

The spelling of 42402880 in words is "forty-two million, four hundred two thousand, eight hundred eighty".