42444400 has 60 divisors (see below), whose sum is σ = 105517800. Its totient is φ = 16387840.

The previous prime is 42444383. The next prime is 42444403. The reversal of 42444400 is 444424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42444403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9771 + ... + 13429.

It is an arithmetic number, because the mean of its divisors is an integer number (1758630).

Almost surely, 2^42444400 is an apocalyptic number.

42444400 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 42444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52758900).

42444400 is an abundant number, since it is smaller than the sum of its proper divisors (63073400).

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

42444400 is a wasteful number, since it uses less digits than its factorization.

42444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 42444400 is about 6514.9366842664. The cubic root of 42444400 is about 348.8243547649.

Adding to 42444400 its reverse (444424), we get a palindrome (42888824).

The spelling of 42444400 in words is "forty-two million, four hundred forty-four thousand, four hundred".