480096 has 36 divisors (see below), whose sum is σ = 1366092. Its totient is φ = 159936.

The previous prime is 480091. The next prime is 480101. The reversal of 480096 is 690084.

It is an interprime number because it is at equal distance from previous prime (480091) and next prime (480101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480091) by changing a digit.

480096 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 5 ways as a sum of consecutive naturals, for example, 546 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (37947).

2⁴⁸⁰⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

480096 is an abundant number, since it is smaller than the sum of its proper divisors (885996).

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

480096 is a wasteful number, since it uses less digits than its factorization.

480096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 480096 is about 692.8896015961. The cubic root of 480096 is about 78.3025722989.

The spelling of 480096 in words is "four hundred eighty thousand, ninety-six".