484900 has 36 divisors (see below), whose sum is σ = 1136212. Its totient is φ = 178560.

The previous prime is 484867. The next prime is 484927. The reversal of 484900 is 9484.

It can be written as a sum of positive squares in 6 ways, for example, as 46656 + 438244 = 216^2 + 662^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1114 + ... + 1486.

2⁴⁸⁴⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568106).

484900 is an abundant number, since it is smaller than the sum of its proper divisors (651312).

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

484900 is a wasteful number, since it uses less digits than its factorization.

484900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 484900 is about 696.3476143421. The cubic root of 484900 is about 78.5628798255.

It can be divided in two parts, 484 and 900, that multiplied together give a square (435600 = 660²).

The spelling of 484900 in words is "four hundred eighty-four thousand, nine hundred".