480114 has 32 divisors (see below), whose sum is σ = 1131840. Its totient is φ = 150336.

The previous prime is 480113. The next prime is 480133. The reversal of 480114 is 411084.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480114.

It is not an unprimeable number, because it can be changed into a prime (480113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 657 + ... + 1179.

It is an arithmetic number, because the mean of its divisors is an integer number (35370).

2⁴⁸⁰¹¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565920).

480114 is an abundant number, since it is smaller than the sum of its proper divisors (651726).

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

480114 is a wasteful number, since it uses less digits than its factorization.

480114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 480114 is about 692.9025905566. The cubic root of 480114 is about 78.3035508732.

Adding to 480114 its reverse (411084), we get a palindrome (891198).

The spelling of 480114 in words is "four hundred eighty thousand, one hundred fourteen".