472704 has 32 divisors (see below), whose sum is σ = 1256640. Its totient is φ = 157440.

The previous prime is 472697. The next prime is 472709. The reversal of 472704 is 407274.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (472709) by changing a digit.

472704 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 3 ways as a sum of consecutive naturals, for example, 232 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (39270).

2⁴⁷²⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

472704 is an abundant number, since it is smaller than the sum of its proper divisors (783936).

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

472704 is a wasteful number, since it uses less digits than its factorization.

472704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 472704 is about 687.5347263957. The cubic root of 472704 is about 77.8986191086.

Adding to 472704 its reverse (407274), we get a palindrome (879978).

It can be divided in two parts, 47270 and 4, that added together give a palindrome (47274).

The spelling of 472704 in words is "four hundred seventy-two thousand, seven hundred four", and thus it is an iban number.