483766416 has 360 divisors, whose sum is σ = 1728338040. Its totient is φ = 125411328.

The previous prime is 483766411. The next prime is 483766463. The reversal of 483766416 is 614667384.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 282240000 + 201526416 = 16800^2 + 14196^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483766411) 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 71 ways as a sum of consecutive naturals, for example, 4438170 + ... + 4438278.

It is an arithmetic number, because the mean of its divisors is an integer number (4800939).

Almost surely, 2^483766416 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 483766416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864169020).

483766416 is an abundant number, since it is smaller than the sum of its proper divisors (1244571624).

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

483766416 is a wasteful number, since it uses less digits than its factorization.

483766416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 483766416 is about 21994.6906320594. The cubic root of 483766416 is about 785.0161144541.

It can be divided in two parts, 4837 and 66416, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 483766416 in words is "four hundred eighty-three million, seven hundred sixty-six thousand, four hundred sixteen".