472648 has 32 divisors (see below), whose sum is σ = 997920. Its totient is φ = 208000.

The previous prime is 472643. The next prime is 472669. The reversal of 472648 is 846274.

It is a super-2 number, since 2×472648² = 446792263808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (472643) by changing a digit.

472648 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 7 ways as a sum of consecutive naturals, for example, 3543 + ... + 3673.

It is an arithmetic number, because the mean of its divisors is an integer number (31185).

2⁴⁷²⁶⁴⁸ 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 472648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960).

472648 is an abundant number, since it is smaller than the sum of its proper divisors (525272).

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

472648 is a wasteful number, since it uses less digits than its factorization.

472648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 472648 is about 687.4939999738. The cubic root of 472648 is about 77.8955428389.

It can be divided in two parts, 4726 and 48, that added together give a palindrome (4774).

The spelling of 472648 in words is "four hundred seventy-two thousand, six hundred forty-eight".