416608 has 24 divisors (see below), whose sum is σ = 840672. Its totient is φ = 203136.

The previous prime is 416593. The next prime is 416621. The reversal of 416608 is 806614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1366 + ... + 1642.

It is an arithmetic number, because the mean of its divisors is an integer number (35028).

2⁴¹⁶⁶⁰⁸ 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 416608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420336).

416608 is an abundant number, since it is smaller than the sum of its proper divisors (424064).

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

416608 is a wasteful number, since it uses less digits than its factorization.

416608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 416608 is about 645.4517797636. The cubic root of 416608 is about 74.6865734904.

It can be divided in two parts, 416 and 608, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 416608 in words is "four hundred sixteen thousand, six hundred eight".