484968484 has 135 divisors (see below), whose sum is σ = 1175938785. Its totient is φ = 174414240.

The previous prime is 484968481. The next prime is 484968487. The reversal of 484968484 is 484869484.

484968484 = 144³ + 145³ + ... + 220³.

The square root of 484968484 is 22022.

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

It is an interprime number because it is at equal distance from previous prime (484968481) and next prime (484968487).

It can be written as a sum of positive squares in only one way, i.e., 71740900 + 413227584 = 8470^2 + 20328^2 .

It is not an unprimeable number, because it can be changed into a prime (484968481) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37305262 + ... + 37305274.

Almost surely, 2^484968484 is an apocalyptic number.

484968484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

484968484 is the 22022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484968484

484968484 is an abundant number, since it is smaller than the sum of its proper divisors (690970301).

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

484968484 is a wasteful number, since it uses less digits than its factorization.

484968484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 33 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 55.

The cubic root of 484968484 is about 785.6657821487.

The spelling of 484968484 in words is "four hundred eighty-four million, nine hundred sixty-eight thousand, four hundred eighty-four".