42264200 has 48 divisors (see below), whose sum is σ = 107202960. Its totient is φ = 15368000.

The previous prime is 42264169. The next prime is 42264221. The reversal of 42264200 is 246224.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 7406 + ... + 11805.

It is an arithmetic number, because the mean of its divisors is an integer number (2233395).

Almost surely, 2^42264200 is an apocalyptic number.

42264200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42264200 is an abundant number, since it is smaller than the sum of its proper divisors (64938760).

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

42264200 is a wasteful number, since it uses less digits than its factorization.

42264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19238 (or 19229 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 42264200 is about 6501.0922159280. The cubic root of 42264200 is about 348.3300036057.

The spelling of 42264200 in words is "forty-two million, two hundred sixty-four thousand, two hundred".