484372224 has 360 divisors, whose sum is σ = 1709503488. Its totient is φ = 133539840.

The previous prime is 484372223. The next prime is 484372243. The reversal of 484372224 is 422273484.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484372223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6822109 + ... + 6822179.

Almost surely, 2^484372224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854751744).

484372224 is an abundant number, since it is smaller than the sum of its proper divisors (1225131264).

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

484372224 is an equidigital number, since it uses as much as digits as its factorization.

484372224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 484372224 is about 22008.4580105013. The cubic root of 484372224 is about 785.3436627986.

The spelling of 484372224 in words is "four hundred eighty-four million, three hundred seventy-two thousand, two hundred twenty-four".