480414 has 32 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 140000.

The previous prime is 480409. The next prime is 480419. The reversal of 480414 is 414084.

It is an interprime number because it is at equal distance from previous prime (480409) and next prime (480419).

It is a super-2 number, since 2×480414² = 461595222792, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480419) by changing a digit.

480414 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 15 ways as a sum of consecutive naturals, for example, 1789 + ... + 2039.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁴⁸⁰⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

480414 is an abundant number, since it is smaller than the sum of its proper divisors (608226).

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

480414 is a wasteful number, since it uses less digits than its factorization.

480414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 480414 is about 693.1190373955. The cubic root of 480414 is about 78.3198568436.

Adding to 480414 its reverse (414084), we get a palindrome (894498).

The spelling of 480414 in words is "four hundred eighty thousand, four hundred fourteen".