42204960 has 288 divisors, whose sum is σ = 169827840. Its totient is φ = 9345024.

The previous prime is 42204937. The next prime is 42204979. The reversal of 42204960 is 6940224.

42204960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534201 + ... + 534279.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^42204960 is an apocalyptic number.

42204960 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 42204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

42204960 is an abundant number, since it is smaller than the sum of its proper divisors (127622880).

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

42204960 is a wasteful number, since it uses less digits than its factorization.

42204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42204960 is about 6496.5344607721. The cubic root of 42204960 is about 348.1671808696.

It can be divided in two parts, 4220 and 4960, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 42204960 in words is "forty-two million, two hundred four thousand, nine hundred sixty".