416961 has 8 divisors (see below), whose sum is σ = 617760. Its totient is φ = 277956.

The previous prime is 416957. The next prime is 416963. The reversal of 416961 is 169614.

It is not a de Polignac number, because 416961 - 2² = 416957 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: 15443 = 416961 / (4 + 1 + 6 + 9 + 6 + 1).

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 416961.

It is not an unprimeable number, because it can be changed into a prime (416963) 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, 7695 + ... + 7748.

It is an arithmetic number, because the mean of its divisors is an integer number (77220).

2⁴¹⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

416961 is a deficient number, since it is larger than the sum of its proper divisors (200799).

416961 is a wasteful number, since it uses less digits than its factorization.

416961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15452 (or 15446 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 416961 is about 645.7251737388. The cubic root of 416961 is about 74.7076619937.

The spelling of 416961 in words is "four hundred sixteen thousand, nine hundred sixty-one".