472801 has 6 divisors (see below), whose sum is σ = 550050. Its totient is φ = 405216.

The previous prime is 472799. The next prime is 472817. The reversal of 472801 is 108274.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 159201 = 560^2 + 399^2 .

It is not a de Polignac number, because 472801 - 2¹ = 472799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (472831) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4776 + ... + 4873.

It is an arithmetic number, because the mean of its divisors is an integer number (91675).

2⁴⁷²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

472801 is a deficient number, since it is larger than the sum of its proper divisors (77249).

472801 is an equidigital number, since it uses as much as digits as its factorization.

472801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9663 (or 9656 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 472801 is about 687.6052646686. The cubic root of 472801 is about 77.9039470723.

The spelling of 472801 in words is "four hundred seventy-two thousand, eight hundred one".