472820473 has 12 divisors (see below), whose sum is σ = 511762860. Its totient is φ = 436596992.

The previous prime is 472820461. The next prime is 472820479. The reversal of 472820473 is 374028274.

It can be written as a sum of positive squares in 6 ways, for example, as 7469289 + 465351184 = 2733^2 + 21572^2 .

It is a de Polignac number, because none of the positive numbers 2^k-472820473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (472820479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118 + ... + 30751.

It is an arithmetic number, because the mean of its divisors is an integer number (42646905).

Almost surely, 2^472820473 is an apocalyptic number.

It is an amenable number.

472820473 is a deficient number, since it is larger than the sum of its proper divisors (38942387).

472820473 is a wasteful number, since it uses less digits than its factorization.

472820473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30956 (or 30939 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 472820473 is about 21744.4354490982. The cubic root of 472820473 is about 779.0501658691.

The spelling of 472820473 in words is "four hundred seventy-two million, eight hundred twenty thousand, four hundred seventy-three".