416598 has 48 divisors (see below), whose sum is σ = 1053360. Its totient is φ = 108864.

The previous prime is 416593. The next prime is 416621. The reversal of 416598 is 895614.

416598 is nontrivially palindromic in base 16.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416593) 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 23 ways as a sum of consecutive naturals, for example, 3768 + ... + 3876.

It is an arithmetic number, because the mean of its divisors is an integer number (21945).

2⁴¹⁶⁵⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526680).

416598 is an abundant number, since it is smaller than the sum of its proper divisors (636762).

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

416598 is a wasteful number, since it uses less digits than its factorization.

416598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 416598 is about 645.4440332050. Note that the first 3 decimals coincide. The cubic root of 416598 is about 74.6859759089.

The spelling of 416598 in words is "four hundred sixteen thousand, five hundred ninety-eight".