42657200 has 60 divisors (see below), whose sum is σ = 104710560. Its totient is φ = 16692480.

The previous prime is 42657193. The next prime is 42657217. The reversal of 42657200 is 275624.

It is a self number, because there is not a number n which added to its sum of digits gives 42657200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17666 + ... + 19934.

It is an arithmetic number, because the mean of its divisors is an integer number (1745176).

Almost surely, 2^42657200 is an apocalyptic number.

42657200 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 42657200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52355280).

42657200 is an abundant number, since it is smaller than the sum of its proper divisors (62053360).

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

42657200 is a wasteful number, since it uses less digits than its factorization.

42657200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 42657200 is about 6531.2479665069. The cubic root of 42657200 is about 349.4063405609.

The spelling of 42657200 in words is "forty-two million, six hundred fifty-seven thousand, two hundred".