42959200 has 36 divisors (see below), whose sum is σ = 104876100. Its totient is φ = 17183360.

The previous prime is 42959197. The next prime is 42959243. The reversal of 42959200 is 295924.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26050 + ... + 27649.

It is an arithmetic number, because the mean of its divisors is an integer number (2913225).

Almost surely, 2^42959200 is an apocalyptic number.

42959200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42959200 is an abundant number, since it is smaller than the sum of its proper divisors (61916900).

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

42959200 is a wasteful number, since it uses less digits than its factorization.

42959200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53719 (or 53706 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 42959200 is about 6554.3268151657. The cubic root of 42959200 is about 350.2289658269.

The spelling of 42959200 in words is "forty-two million, nine hundred fifty-nine thousand, two hundred".