416976 has 80 divisors (see below), whose sum is σ = 1321344. Its totient is φ = 110592.

The previous prime is 416963. The next prime is 416989. The reversal of 416976 is 679614.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (416963) and next prime (416989).

Its product of digits (9072) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an unprimeable number.

416976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5676 + ... + 5748.

2⁴¹⁶⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660672).

416976 is an abundant number, since it is smaller than the sum of its proper divisors (904368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416976 is a wasteful number, since it uses less digits than its factorization.

416976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 416976 is about 645.7367884827. The cubic root of 416976 is about 74.7085578421.

The spelling of 416976 in words is "four hundred sixteen thousand, nine hundred seventy-six".