444420400 has 60 divisors (see below), whose sum is σ = 1074274992. Its totient is φ = 176677120.

The previous prime is 444420397. The next prime is 444420401. The reversal of 444420400 is 4024444.

444420400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×444420400³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (444420401) 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, 63474 + ... + 70126.

Almost surely, 2^444420400 is an apocalyptic number.

444420400 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 444420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537137496).

444420400 is an abundant number, since it is smaller than the sum of its proper divisors (629854592).

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

444420400 is a wasteful number, since it uses less digits than its factorization.

444420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6838 (or 6827 counting only the distinct ones).

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

The square root of 444420400 is about 21081.2807960048. The cubic root of 444420400 is about 763.1290661117.

Adding to 444420400 its reverse (4024444), we get a palindrome (448444844).

The spelling of 444420400 in words is "four hundred forty-four million, four hundred twenty thousand, four hundred".