483741216 has 288 divisors, whose sum is σ = 1687271040. Its totient is φ = 128397312.

The previous prime is 483741179. The next prime is 483741227. The reversal of 483741216 is 612147384.

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

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (32256) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2796106 + ... + 2796278.

It is an arithmetic number, because the mean of its divisors is an integer number (5858580).

Almost surely, 2^483741216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483741216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843635520).

483741216 is an abundant number, since it is smaller than the sum of its proper divisors (1203529824).

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

483741216 is a wasteful number, since it uses less digits than its factorization.

483741216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 483741216 is about 21994.1177590737. The cubic root of 483741216 is about 785.0024833924.

The spelling of 483741216 in words is "four hundred eighty-three million, seven hundred forty-one thousand, two hundred sixteen".