470961 has 8 divisors (see below), whose sum is σ = 697760. Its totient is φ = 313956.

The previous prime is 470959. The next prime is 470993. The reversal of 470961 is 169074.

It is not a de Polignac number, because 470961 - 2¹ = 470959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 17443 = 470961 / (4 + 7 + 0 + 9 + 6 + 1).

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

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 470961.

It is not an unprimeable number, because it can be changed into a prime (470941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8695 + ... + 8748.

It is an arithmetic number, because the mean of its divisors is an integer number (87220).

2⁴⁷⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

470961 is a deficient number, since it is larger than the sum of its proper divisors (226799).

470961 is a wasteful number, since it uses less digits than its factorization.

470961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17452 (or 17446 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 470961 is about 686.2659834204. The cubic root of 470961 is about 77.8027560741.

It can be divided in two parts, 470 and 961, that added together give a triangular number (1431 = T₅₃).

The spelling of 470961 in words is "four hundred seventy thousand, nine hundred sixty-one".