472 has 8 divisors (see below), whose sum is σ = 900. Its totient is φ = 232.

The previous prime is 467. The next prime is 479. The reversal of 472 is 274.

Adding to 472 its product of digits (56), we get a triangular number (528 = T_{32}).

It can be divided in two parts, 47 and 2, that added together give a square (49 = 7^{2}).

It is a tau number, because it is divible by the number of its divisors (8).

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

It is a plaindrome in base 11, base 12 and base 14.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479) by changing a digit.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22 + ... + 37.

It is an amenable number.

472 is a deficient number, since it is larger than the sum of its proper divisors (428).

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

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

The sum of its prime factors is 65 (or 61 counting only the distinct ones).

The product of its digits is 56, while the sum is 13.

The square root of 472 is about 21.7255609824. The cubic root of 472 is about 7.7859928317.

The spelling of 472 in words is "four hundred seventy-two", and thus it is an aban number and an iban number.

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