480996 has 36 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 154800.

The previous prime is 480989. The next prime is 481001. The reversal of 480996 is 699084.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×480996³ = 333845594073263808, which contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 480996.

It is an unprimeable number.

480996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 901 + ... + 1331.

It is an arithmetic number, because the mean of its divisors is an integer number (34944).

2⁴⁸⁰⁹⁹⁶ 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 480996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

480996 is an abundant number, since it is smaller than the sum of its proper divisors (776988).

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

480996 is a wasteful number, since it uses less digits than its factorization.

480996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 480996 is about 693.5387516210. The cubic root of 480996 is about 78.3514710779.

The spelling of 480996 in words is "four hundred eighty thousand, nine hundred ninety-six".