467900161 has 9 divisors (see below), whose sum is σ = 474903171. Its totient is φ = 460999872.

The previous prime is 467900141. The next prime is 467900171. The reversal of 467900161 is 161009764.

The square root of 467900161 is 21631.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 210105025 + 257795136 = 14495^2 + 16056^2 .

It is not a de Polignac number, because 467900161 - 2¹⁷ = 467769089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (467900101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2098096 + ... + 2098318.

It is an arithmetic number, because the mean of its divisors is an integer number (52767019).

Almost surely, 2^467900161 is an apocalyptic number.

467900161 is the 21631-st square number.

467900161 is the 10816-th centered octagonal number.

It is an amenable number.

467900161 is a deficient number, since it is larger than the sum of its proper divisors (7003010).

467900161 is an frugal number, since it uses more digits than its factorization.

467900161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The cubic root of 467900161 is about 776.3383940801.

The spelling of 467900161 in words is "four hundred sixty-seven million, nine hundred thousand, one hundred sixty-one".