482400 has 108 divisors (see below), whose sum is σ = 1726452. Its totient is φ = 126720.

The previous prime is 482399. The next prime is 482401. The reversal of 482400 is 4284.

It is a happy number.

482400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (482399) and next prime (482401).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 482400.

It is not an unprimeable number, because it can be changed into a prime (482401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7167 + ... + 7233.

2⁴⁸²⁴⁰⁰ is an apocalyptic number.

482400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863226).

482400 is an abundant number, since it is smaller than the sum of its proper divisors (1244052).

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

482400 is a wasteful number, since it uses less digits than its factorization.

482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 482400 is about 694.5502141674. The cubic root of 482400 is about 78.4276315209.

Adding to 482400 its reverse (4284), we get a palindrome (486684).

The spelling of 482400 in words is "four hundred eighty-two thousand, four hundred".