484416 has 63 divisors (see below), whose sum is σ = 1438021. Its totient is φ = 155904.

The previous prime is 484411. The next prime is 484417. The reversal of 484416 is 614484.

The square root of 484416 is 696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 230400 = 504^2 + 480^2 .

It is a super-2 number, since 2×484416² = 469317722112, which contains 22 as substring.

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

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 14 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 484416.

It is not an unprimeable number, because it can be changed into a prime (484411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16690 + ... + 16718.

2⁴⁸⁴⁴¹⁶ is an apocalyptic number.

484416 is the 696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484416

484416 is an abundant number, since it is smaller than the sum of its proper divisors (953605).

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

484416 is a wasteful number, since it uses less digits than its factorization.

484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The cubic root of 484416 is about 78.5367321029.

It can be divided in two parts, 484 and 416, that added together give a square (900 = 30²).

The spelling of 484416 in words is "four hundred eighty-four thousand, four hundred sixteen".