473642667 has 16 divisors (see below), whose sum is σ = 704183680. Its totient is φ = 314640936.

The previous prime is 473642623. The next prime is 473642677. The reversal of 473642667 is 766246374.

It is not a de Polignac number, because 473642667 - 2¹⁶ = 473577131 is a prime.

It is a super-3 number, since 3×473642667³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (473642677) 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 15 ways as a sum of consecutive naturals, for example, 23353 + ... + 38634.

It is an arithmetic number, because the mean of its divisors is an integer number (44011480).

Almost surely, 2^473642667 is an apocalyptic number.

473642667 is a deficient number, since it is larger than the sum of its proper divisors (230541013).

473642667 is a wasteful number, since it uses less digits than its factorization.

473642667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62279 (or 62273 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 473642667 is about 21763.3330857201. Note that the first 3 decimals coincide. The cubic root of 473642667 is about 779.5014713795.

The spelling of 473642667 in words is "four hundred seventy-three million, six hundred forty-two thousand, six hundred sixty-seven".