480816 has 100 divisors (see below), whose sum is σ = 1620432. Its totient is φ = 134784.

The previous prime is 480803. The next prime is 480827. The reversal of 480816 is 618084.

It is a super-3 number, since 3×480816³ = 333470935727935488, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 480816.

It is a congruent number.

It is an unprimeable number.

480816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9046 + ... + 9098.

2⁴⁸⁰⁸¹⁶ is an apocalyptic number.

480816 is the 371-st nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810216).

480816 is an abundant number, since it is smaller than the sum of its proper divisors (1139616).

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

480816 is a wasteful number, since it uses less digits than its factorization.

480816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 480816 is about 693.4089702333. The cubic root of 480816 is about 78.3416962049.

It can be divided in two parts, 480 and 816, that added together give a 4-th power (1296 = 6⁴).

The spelling of 480816 in words is "four hundred eighty thousand, eight hundred sixteen".