472896 has 42 divisors (see below), whose sum is σ = 1357122. Its totient is φ = 157440.

The previous prime is 472883. The next prime is 472907. The reversal of 472896 is 698274.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 112896 = 600^2 + 336^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 472896.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472896.

It is an unprimeable number.

472896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 166 + ... + 986.

472896 is a Friedman number, since it can be written as (9^4+7)*(8+2^6), using all its digits and the basic arithmetic operations.

2⁴⁷²⁸⁹⁶ 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 472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678561).

472896 is an abundant number, since it is smaller than the sum of its proper divisors (884226).

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

472896 is a wasteful number, since it uses less digits than its factorization.

472896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 826 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 472896 is about 687.6743415309. The cubic root of 472896 is about 77.9091644748.

It can be divided in two parts, 4 and 72896, that added together give a square (72900 = 270²).

The spelling of 472896 in words is "four hundred seventy-two thousand, eight hundred ninety-six".