416973 has 8 divisors (see below), whose sum is σ = 560736. Its totient is φ = 275600.

The previous prime is 416963. The next prime is 416989. The reversal of 416973 is 379614.

It is a happy number.

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 416973 - 2⁴ = 416957 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 416973.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (70092).

2⁴¹⁶⁹⁷³ is an apocalyptic number.

It is an amenable number.

416973 is a deficient number, since it is larger than the sum of its proper divisors (143763).

416973 is a wasteful number, since it uses less digits than its factorization.

416973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195.

The product of its digits is 4536, while the sum is 30.

The square root of 416973 is about 645.7344655507. The cubic root of 416973 is about 74.7083786741.

The spelling of 416973 in words is "four hundred sixteen thousand, nine hundred seventy-three".