484228000 has 96 divisors (see below), whose sum is σ = 1259910288. Its totient is φ = 182272000.

The previous prime is 484227979. The next prime is 484228079. The reversal of 484228000 is 822484.

It can be written as a sum of positive squares in 8 ways, for example, as 51984 + 484176016 = 228^2 + 22004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 484228000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64440 + ... + 71560.

Almost surely, 2^484228000 is an apocalyptic number.

484228000 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 484228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629955144).

484228000 is an abundant number, since it is smaller than the sum of its proper divisors (775682288).

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

484228000 is a wasteful number, since it uses less digits than its factorization.

484228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7163 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 484228000 is about 22005.1812080701. The cubic root of 484228000 is about 785.2657085295.

It can be divided in two parts, 484 and 228000, that added together give a square (228484 = 478²).

The spelling of 484228000 in words is "four hundred eighty-four million, two hundred twenty-eight thousand".