42454200 has 96 divisors (see below), whose sum is σ = 132692400. Its totient is φ = 11228160.

The previous prime is 42454177. The next prime is 42454267. The reversal of 42454200 is 245424.

42454200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103596 + ... + 104004.

Almost surely, 2^42454200 is an apocalyptic number.

42454200 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 42454200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66346200).

42454200 is an abundant number, since it is smaller than the sum of its proper divisors (90238200).

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

42454200 is a wasteful number, since it uses less digits than its factorization.

42454200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 42454200 is about 6515.6887586809. The cubic root of 42454200 is about 348.8511994182.

Adding to 42454200 its reverse (245424), we get a palindrome (42699624).

The spelling of 42454200 in words is "forty-two million, four hundred fifty-four thousand, two hundred".