416631605 has 16 divisors (see below), whose sum is σ = 539286384. Its totient is φ = 307169280.

The previous prime is 416631583. The next prime is 416631617. The reversal of 416631605 is 506136614.

It can be written as a sum of positive squares in 8 ways, for example, as 41550916 + 375080689 = 6446^2 + 19367^2 .

It is not a de Polignac number, because 416631605 - 2⁶ = 416631541 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38117 + ... + 47813.

It is an arithmetic number, because the mean of its divisors is an integer number (33705399).

Almost surely, 2^416631605 is an apocalyptic number.

It is an amenable number.

416631605 is a deficient number, since it is larger than the sum of its proper divisors (122654779).

416631605 is a wasteful number, since it uses less digits than its factorization.

416631605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 416631605 is about 20411.5556731965. Note that the first 3 decimals coincide. The cubic root of 416631605 is about 746.8798404359.

The spelling of 416631605 in words is "four hundred sixteen million, six hundred thirty-one thousand, six hundred five".