480849616 has 60 divisors (see below), whose sum is σ = 1022047680. Its totient is φ = 219024000.

The previous prime is 480849583. The next prime is 480849619. The reversal of 480849616 is 616948084.

It is a super-3 number, since 3×480849616³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480849619) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212491 + ... + 214741.

It is an arithmetic number, because the mean of its divisors is an integer number (17034128).

Almost surely, 2^480849616 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 480849616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511023840).

480849616 is an abundant number, since it is smaller than the sum of its proper divisors (541198064).

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

480849616 is a wasteful number, since it uses less digits than its factorization.

480849616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 480849616 is about 21928.2834713527. The cubic root of 480849616 is about 783.4352190195.

The spelling of 480849616 in words is "four hundred eighty million, eight hundred forty-nine thousand, six hundred sixteen".