483736320 has 144 divisors (see below), whose sum is σ = 1716714720. Its totient is φ = 128987136.

The previous prime is 483736303. The next prime is 483736321. The reversal of 483736320 is 23637384.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (483736321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27562 + ... + 41558.

It is an arithmetic number, because the mean of its divisors is an integer number (11921630).

Almost surely, 2^483736320 is an apocalyptic number.

483736320 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 483736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858357360).

483736320 is an abundant number, since it is smaller than the sum of its proper divisors (1232978400).

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

483736320 is a wasteful number, since it uses less digits than its factorization.

483736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14027 (or 14007 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 483736320 is about 21994.0064563053. The cubic root of 483736320 is about 784.9998350169. Note that the first 3 decimals are identical.

The spelling of 483736320 in words is "four hundred eighty-three million, seven hundred thirty-six thousand, three hundred twenty".