416803689 has 24 divisors (see below), whose sum is σ = 624092040. Its totient is φ = 267735552.

The previous prime is 416803679. The next prime is 416803693. The reversal of 416803689 is 986308614.

It can be written as a sum of positive squares in 4 ways, for example, as 68608089 + 348195600 = 8283^2 + 18660^2 .

It is not a de Polignac number, because 416803689 - 2¹¹ = 416801641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416803619) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153427 + ... + 156119.

It is an arithmetic number, because the mean of its divisors is an integer number (26003835).

Almost surely, 2^416803689 is an apocalyptic number.

It is an amenable number.

416803689 is a deficient number, since it is larger than the sum of its proper divisors (207288351).

416803689 is a wasteful number, since it uses less digits than its factorization.

416803689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 416803689 is about 20415.7705953021. The cubic root of 416803689 is about 746.9826557910.

It can be divided in two parts, 41680 and 3689, that added together give a square (45369 = 213²).

The spelling of 416803689 in words is "four hundred sixteen million, eight hundred three thousand, six hundred eighty-nine".