416965 has 8 divisors (see below), whose sum is σ = 506520. Its totient is φ = 329472.

The previous prime is 416963. The next prime is 416989. The reversal of 416965 is 569614.

It can be written as a sum of positive squares in 4 ways, for example, as 6084 + 410881 = 78^2 + 641^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 416965 - 2¹ = 416963 is a prime.

It is a super-2 number, since 2×416965² = 347719622450, which contains 22 as substring.

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

It is a congruent number.

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, 24 + ... + 913.

It is an arithmetic number, because the mean of its divisors is an integer number (63315).

2⁴¹⁶⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

416965 is a deficient number, since it is larger than the sum of its proper divisors (89555).

416965 is an equidigital number, since it uses as much as digits as its factorization.

416965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031.

The product of its digits is 6480, while the sum is 31.

The square root of 416965 is about 645.7282710243. The cubic root of 416965 is about 74.7079008887.

The spelling of 416965 in words is "four hundred sixteen thousand, nine hundred sixty-five".