444020400 has 120 divisors (see below), whose sum is σ = 1580422160. Its totient is φ = 118402560.

The previous prime is 444020389. The next prime is 444020407. The reversal of 444020400 is 4020444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (444020407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9757 + ... + 31356.

Almost surely, 2^444020400 is an apocalyptic number.

444020400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444020400 is an abundant number, since it is smaller than the sum of its proper divisors (1136401760).

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

444020400 is a wasteful number, since it uses less digits than its factorization.

444020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41140 (or 41123 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 444020400 is about 21071.7915707232. The cubic root of 444020400 is about 762.9000462822.

Adding to 444020400 its reverse (4020444), we get a palindrome (448040844).

The spelling of 444020400 in words is "four hundred forty-four million, twenty thousand, four hundred".