483120400 has 135 divisors (see below), whose sum is σ = 1358853039. Its totient is φ = 164586240.

The previous prime is 483120397. The next prime is 483120401. The reversal of 483120400 is 4021384.

The square root of 483120400 is 21980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 58430736 + 424689664 = 7644^2 + 20608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (483120401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3077122 + ... + 3077278.

Almost surely, 2^483120400 is an apocalyptic number.

483120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

483120400 is the 21980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483120400

483120400 is an abundant number, since it is smaller than the sum of its proper divisors (875732639).

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

483120400 is a wasteful number, since it uses less digits than its factorization.

483120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The cubic root of 483120400 is about 784.6665250236. Note that the first 3 decimals are identical.

Adding to 483120400 its reverse (4021384), we get a palindrome (487141784).

The spelling of 483120400 in words is "four hundred eighty-three million, one hundred twenty thousand, four hundred".