42254400 has 84 divisors (see below), whose sum is σ = 138645392. Its totient is φ = 11266560.

The previous prime is 42254389. The next prime is 42254417. The reversal of 42254400 is 445224.

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, 399 + ... + 9201.

Almost surely, 2^42254400 is an apocalyptic number.

42254400 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 42254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69322696).

42254400 is an abundant number, since it is smaller than the sum of its proper divisors (96390992).

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

42254400 is a wasteful number, since it uses less digits than its factorization.

42254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8828 (or 8813 counting only the distinct ones).

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

The square root of 42254400 is about 6500.3384527269. The cubic root of 42254400 is about 348.3030785492.

Adding to 42254400 its reverse (445224), we get a palindrome (42699624).

The spelling of 42254400 in words is "forty-two million, two hundred fifty-four thousand, four hundred".