42559200 has 216 divisors, whose sum is σ = 157208688. Its totient is φ = 10813440.

The previous prime is 42559171. The next prime is 42559229. The reversal of 42559200 is 295524.

It is an interprime number because it is at equal distance from previous prime (42559171) and next prime (42559229).

It is a super-2 number, since 2×42559200² = 3622571009280000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 165472 + ... + 165728.

It is an arithmetic number, because the mean of its divisors is an integer number (727818).

Almost surely, 2^42559200 is an apocalyptic number.

42559200 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 42559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78604344).

42559200 is an abundant number, since it is smaller than the sum of its proper divisors (114649488).

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

42559200 is a wasteful number, since it uses less digits than its factorization.

42559200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 42559200 is about 6523.7412578980. The cubic root of 42559200 is about 349.1385617951.

The spelling of 42559200 in words is "forty-two million, five hundred fifty-nine thousand, two hundred".