484128 has 54 divisors (see below), whose sum is σ = 1411137. Its totient is φ = 157440.

The previous prime is 484123. The next prime is 484129. The reversal of 484128 is 821484.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 138384 = 588^2 + 372^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=492.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (484123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11788 + ... + 11828.

484128 is a Friedman number, since it can be written as (48*41)^2/8, using all its digits and the basic arithmetic operations.

2⁴⁸⁴¹²⁸ is an apocalyptic number.

484128 is a gapful number since it is divisible by the number (48) 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 484128

484128 is an abundant number, since it is smaller than the sum of its proper divisors (927009).

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

484128 is a wasteful number, since it uses less digits than its factorization.

484128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 484128 is about 695.7930726876. The cubic root of 484128 is about 78.5211648612.

Multiplying 484128 by its product of digits (2048), we get a square (991494144 = 31488²).

The spelling of 484128 in words is "four hundred eighty-four thousand, one hundred twenty-eight".