416672 has 24 divisors (see below), whose sum is σ = 850500. Its totient is φ = 200704.

The previous prime is 416659. The next prime is 416677. The reversal of 416672 is 276614.

416672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 1936 = 644^2 + 44^2 .

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 416672.

It is not an unprimeable number, because it can be changed into a prime (416677) by changing a digit.

416672 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 3 ways as a sum of consecutive naturals, for example, 704 + ... + 1152.

2⁴¹⁶⁶⁷² 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 416672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425250).

416672 is an abundant number, since it is smaller than the sum of its proper divisors (433828).

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

416672 is a wasteful number, since it uses less digits than its factorization.

416672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 416672 is about 645.5013555369. The cubic root of 416672 is about 74.6903977856.

The spelling of 416672 in words is "four hundred sixteen thousand, six hundred seventy-two".