444342400 has 96 divisors (see below), whose sum is σ = 1104929280. Its totient is φ = 176563200.

The previous prime is 444342389. The next prime is 444342403. The reversal of 444342400 is 4243444.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (444342403) 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, 610837 + ... + 611563.

It is an arithmetic number, because the mean of its divisors is an integer number (11509680).

Almost surely, 2^444342400 is an apocalyptic number.

444342400 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 444342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552464640).

444342400 is an abundant number, since it is smaller than the sum of its proper divisors (660586880).

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

444342400 is a wasteful number, since it uses less digits than its factorization.

444342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 444342400 is about 21079.4307323514. The cubic root of 444342400 is about 763.0844180339.

Adding to 444342400 its reverse (4243444), we get a palindrome (448585844).

The spelling of 444342400 in words is "four hundred forty-four million, three hundred forty-two thousand, four hundred".