42893200 has 60 divisors (see below), whose sum is σ = 117780160. Its totient is φ = 14705280.

The previous prime is 42893189. The next prime is 42893209. The reversal of 42893200 is 239824.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42893209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4860 + ... + 10459.

Almost surely, 2^42893200 is an apocalyptic number.

42893200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42893200 is an abundant number, since it is smaller than the sum of its proper divisors (74886960).

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

42893200 is a wasteful number, since it uses less digits than its factorization.

42893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15344 (or 15333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 42893200 is about 6549.2900378591. The cubic root of 42893200 is about 350.0495168037.

The spelling of 42893200 in words is "forty-two million, eight hundred ninety-three thousand, two hundred".