484484000 has 384 divisors, whose sum is σ = 1611477504. Its totient is φ = 139392000.

The previous prime is 484483999. The next prime is 484484017. The reversal of 484484000 is 484484.

Added to its reverse (484484) it gives a square (484968484 = 22022²).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37267994 + ... + 37268006.

It is an arithmetic number, because the mean of its divisors is an integer number (4196556).

Almost surely, 2^484484000 is an apocalyptic number.

484484000 is a gapful number since it is divisible by the number (40) 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 484484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805738752).

484484000 is an abundant number, since it is smaller than the sum of its proper divisors (1126993504).

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

484484000 is a wasteful number, since it uses less digits than its factorization.

484484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 484484000 is about 22010.9972513741. The cubic root of 484484000 is about 785.4040680114.

Adding to 484484000 its reverse (484484), we get a square (484968484 = 22022²).

484484000 divided by its reverse (484484) gives a cube (1000 = 10³).

It can be divided in two parts, 484 and 484000, that added together give a palindrome (484484).

The spelling of 484484000 in words is "four hundred eighty-four million, four hundred eighty-four thousand".