484400 has 60 divisors (see below), whose sum is σ = 1337712. Its totient is φ = 165120.

The previous prime is 484397. The next prime is 484411. The reversal of 484400 is 4484.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2714 + ... + 2886.

2⁴⁸⁴⁴⁰⁰ is an apocalyptic number.

484400 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 484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668856).

484400 is an abundant number, since it is smaller than the sum of its proper divisors (853312).

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

484400 is a wasteful number, since it uses less digits than its factorization.

484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 484400 is about 695.9885056522. The cubic root of 484400 is about 78.5358674180.

Adding to 484400 its reverse (4484), we get a palindrome (488884).

It can be divided in two parts, 484 and 400, that multiplied together give a square (193600 = 440²).

The spelling of 484400 in words is "four hundred eighty-four thousand, four hundred".