472822272 has 200 divisors, whose sum is σ = 1521540636. Its totient is φ = 145317888.

The previous prime is 472822249. The next prime is 472822279. The reversal of 472822272 is 272228274.

It can be written as a sum of positive squares in 2 ways, for example, as 472801536 + 20736 = 21744^2 + 144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (472822279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 538698 + ... + 539574.

Almost surely, 2^472822272 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 472822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760770318).

472822272 is an abundant number, since it is smaller than the sum of its proper divisors (1048718364).

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

472822272 is an equidigital number, since it uses as much as digits as its factorization.

472822272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 895 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 472822272 is about 21744.4768159641. The cubic root of 472822272 is about 779.0511539182.

It can be divided in two parts, 4728 and 22272, that added together give a cube (27000 = 30³).

The spelling of 472822272 in words is "four hundred seventy-two million, eight hundred twenty-two thousand, two hundred seventy-two".