484044001 has 15 divisors (see below), whose sum is σ = 565944851. Its totient is φ = 413970816.

The previous prime is 484043999. The next prime is 484044053. The reversal of 484044001 is 100440484.

It is a happy number.

The square root of 484044001 is 22001.

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., 295805601 + 188238400 = 17199^2 + 13720^2 .

It is not a de Polignac number, because 484044001 - 2¹ = 484043999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (484044091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1077825 + ... + 1078273.

Almost surely, 2^484044001 is an apocalyptic number.

484044001 is the 22001-st square number.

484044001 is the 11001-st centered octagonal number.

It is an amenable number.

484044001 is a deficient number, since it is larger than the sum of its proper divisors (81900850).

484044001 is an frugal number, since it uses more digits than its factorization.

484044001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The cubic root of 484044001 is about 785.1662330689.

Multiplying 484044001 by its sum of digits (25), we get a square (12101100025 = 110005²).

Adding to 484044001 its reverse (100440484), we get a palindrome (584484485).

It can be divided in two parts, 4840 and 44001, that added together give a square (48841 = 221²).

The spelling of 484044001 in words is "four hundred eighty-four million, forty-four thousand, one".