484992 has 48 divisors (see below), whose sum is σ = 1398930. Its totient is φ = 161280.

The previous prime is 484987. The next prime is 484999. The reversal of 484992 is 299484.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 484416 + 576 = 696^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (484999) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 942 + ... + 1362.

2⁴⁸⁴⁹⁹² 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 484992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699465).

484992 is an abundant number, since it is smaller than the sum of its proper divisors (913938).

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

484992 is a wasteful number, since it uses less digits than its factorization.

484992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 484992 is about 696.4136701703. The cubic root of 484992 is about 78.5678480856.

The spelling of 484992 in words is "four hundred eighty-four thousand, nine hundred ninety-two".