42244400 has 60 divisors (see below), whose sum is σ = 110730264. Its totient is φ = 15360000.

The previous prime is 42244393. The next prime is 42244421. The reversal of 42244400 is 444224.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 401 + ... + 9200.

Almost surely, 2^42244400 is an apocalyptic number.

42244400 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 42244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55365132).

42244400 is an abundant number, since it is smaller than the sum of its proper divisors (68485864).

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

42244400 is a wasteful number, since it uses less digits than its factorization.

42244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9630 (or 9619 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 42244400 is about 6499.5692164943. The cubic root of 42244400 is about 348.2755997100.

Adding to 42244400 its reverse (444224), we get a palindrome (42688624).

It can be divided in two parts, 42 and 244400, that added together give a palindrome (244442).

The spelling of 42244400 in words is "forty-two million, two hundred forty-four thousand, four hundred".