480896 has 48 divisors (see below), whose sum is σ = 1095990. Its totient is φ = 208896.

The previous prime is 480881. The next prime is 480911. The reversal of 480896 is 698084.

It is an interprime number because it is at equal distance from previous prime (480881) and next prime (480911).

It can be written as a sum of positive squares in 3 ways, for example, as 440896 + 40000 = 664^2 + 200^2 .

It is a super-3 number, since 3×480896³ = 333637415923089408, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480896.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28280 + ... + 28296.

2⁴⁸⁰⁸⁹⁶ 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 480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547995).

480896 is an abundant number, since it is smaller than the sum of its proper divisors (615094).

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

480896 is a wasteful number, since it uses less digits than its factorization.

480896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 480896 is about 693.4666538486. The cubic root of 480896 is about 78.3460408940.

The spelling of 480896 in words is "four hundred eighty thousand, eight hundred ninety-six".