483444000 has 288 divisors, whose sum is σ = 1849511664. Its totient is φ = 118886400.

The previous prime is 483443959. The next prime is 483444019. The reversal of 483444000 is 444384.

It can be written as a sum of positive squares in 8 ways, for example, as 37896336 + 445547664 = 6156^2 + 21108^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×483444000² = 467436202272000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467484 + ... + 468516.

Almost surely, 2^483444000 is an apocalyptic number.

483444000 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 483444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924755832).

483444000 is an abundant number, since it is smaller than the sum of its proper divisors (1366067664).

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

483444000 is a wasteful number, since it uses less digits than its factorization.

483444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 483444000 is about 21987.3600052394. The cubic root of 483444000 is about 784.8416790267.

Adding to 483444000 its reverse (444384), we get a palindrome (483888384).

The spelling of 483444000 in words is "four hundred eighty-three million, four hundred forty-four thousand".