42645200 has 120 divisors (see below), whose sum is σ = 113013600. Its totient is φ = 15367680.

The previous prime is 42645199. The next prime is 42645217. The reversal of 42645200 is 254624.

It is a super-2 number, since 2×42645200² = 3637226166080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306731 + ... + 306869.

It is an arithmetic number, because the mean of its divisors is an integer number (941780).

Almost surely, 2^42645200 is an apocalyptic number.

42645200 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 42645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56506800).

42645200 is an abundant number, since it is smaller than the sum of its proper divisors (70368400).

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

42645200 is a wasteful number, since it uses less digits than its factorization.

42645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 42645200 is about 6530.3292413170. The cubic root of 42645200 is about 349.3735733741.

Adding to 42645200 its reverse (254624), we get a palindrome (42899824).

The spelling of 42645200 in words is "forty-two million, six hundred forty-five thousand, two hundred".