484088004 has 81 divisors (see below), whose sum is σ = 1298186253. Its totient is φ = 152077824.

The previous prime is 484087957. The next prime is 484088021. The reversal of 484088004 is 400880484.

The square root of 484088004 is 22002.

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., 117288900 + 366799104 = 10830^2 + 19152^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 484088004.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2508132 + ... + 2508324.

Almost surely, 2^484088004 is an apocalyptic number.

484088004 is the 22002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484088004

484088004 is an abundant number, since it is smaller than the sum of its proper divisors (814098249).

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

484088004 is a wasteful number, since it uses less digits than its factorization.

484088004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

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

The cubic root of 484088004 is about 785.1900247234.

Multiplying 484088004 by its sum of digits (36), we get a square (17427168144 = 132012²).

484088004 divided by its sum of digits (36) gives a square (13446889 = 3667²).

The spelling of 484088004 in words is "four hundred eighty-four million, eighty-eight thousand, four".