484884 has 18 divisors (see below), whose sum is σ = 1225770. Its totient is φ = 161616.

The previous prime is 484867. The next prime is 484927. The reversal of 484884 is 488484.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 49284 = 660^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×484884² = 470224986912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 13469 = 484884 / (4 + 8 + 4 + 8 + 8 + 4).

It is a congruent number.

It is an unprimeable number.

484884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6699 + ... + 6770.

2⁴⁸⁴⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

484884 is an abundant number, since it is smaller than the sum of its proper divisors (740886).

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

484884 is a wasteful number, since it uses less digits than its factorization.

484884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13479 (or 13474 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 484884 is about 696.3361257324. The cubic root of 484884 is about 78.5620157161.

Subtracting 484884 from its reverse (488484), we obtain a square (3600 = 60²).

It can be divided in two parts, 48 and 4884, that multiplied together give a palindrome (234432).

The spelling of 484884 in words is "four hundred eighty-four thousand, eight hundred eighty-four".