480849820 has 48 divisors (see below), whose sum is σ = 1109052000. Its totient is φ = 173669120.

The previous prime is 480849791. The next prime is 480849829. The reversal of 480849820 is 28948084.

It is a super-3 number, since 3×480849820³ (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 (480849829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25446 + ... + 40114.

It is an arithmetic number, because the mean of its divisors is an integer number (23105250).

Almost surely, 2^480849820 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 480849820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554526000).

480849820 is an abundant number, since it is smaller than the sum of its proper divisors (628202180).

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

480849820 is a wasteful number, since it uses less digits than its factorization.

480849820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14838 (or 14836 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 480849820 is about 21928.2881228791. The cubic root of 480849820 is about 783.4353298100.

The spelling of 480849820 in words is "four hundred eighty million, eight hundred forty-nine thousand, eight hundred twenty".