42234400 has 144 divisors (see below), whose sum is σ = 115492608. Its totient is φ = 14976000.

The previous prime is 42234391. The next prime is 42234403. The reversal of 42234400 is 443224.

It is not an unprimeable number, because it can be changed into a prime (42234403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322335 + ... + 322465.

It is an arithmetic number, because the mean of its divisors is an integer number (802032).

Almost surely, 2^42234400 is an apocalyptic number.

42234400 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 42234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746304).

42234400 is an abundant number, since it is smaller than the sum of its proper divisors (73258208).

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

42234400 is a wasteful number, since it uses less digits than its factorization.

42234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 42234400 is about 6498.7998892103. The cubic root of 42234400 is about 348.2481165340.

Adding to 42234400 its reverse (443224), we get a palindrome (42677624).

The spelling of 42234400 in words is "forty-two million, two hundred thirty-four thousand, four hundred".