472181256 has 144 divisors (see below), whose sum is σ = 1401521940. Its totient is φ = 143032320.

The previous prime is 472181233. The next prime is 472181261. The reversal of 472181256 is 652181274.

472181256 is a `hidden beast` number, since 472 + 181 + 2 + 5 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 150552900 + 321628356 = 12270^2 + 17934^2 .

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

It is an alternating number because its digits alternate between even and odd.

Its product of digits (26880) is a multiple of the sum of its prime divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 472181256.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4867800 + ... + 4867896.

Almost surely, 2^472181256 is an apocalyptic number.

472181256 is the 12546-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472181256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700760970).

472181256 is an abundant number, since it is smaller than the sum of its proper divisors (929340684).

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

472181256 is a wasteful number, since it uses less digits than its factorization.

472181256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 160 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 472181256 is about 21729.7320738200. The cubic root of 472181256 is about 778.6989355268.

The spelling of 472181256 in words is "four hundred seventy-two million, one hundred eighty-one thousand, two hundred fifty-six".