416736164 has 48 divisors (see below), whose sum is σ = 836157168. Its totient is φ = 180031488.

The previous prime is 416736161. The next prime is 416736167. The reversal of 416736164 is 461637614.

It is an interprime number because it is at equal distance from previous prime (416736161) and next prime (416736167).

It can be written as a sum of positive squares in 8 ways, for example, as 902500 + 415833664 = 950^2 + 20392^2 .

It is not an unprimeable number, because it can be changed into a prime (416736161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172952 + ... + 175344.

It is an arithmetic number, because the mean of its divisors is an integer number (17419941).

Almost surely, 2^416736164 is an apocalyptic number.

It is an amenable number.

416736164 is an abundant number, since it is smaller than the sum of its proper divisors (419421004).

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

416736164 is a wasteful number, since it uses less digits than its factorization.

416736164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2622 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 416736164 is about 20414.1167822661. The cubic root of 416736164 is about 746.9423148749.

The spelling of 416736164 in words is "four hundred sixteen million, seven hundred thirty-six thousand, one hundred sixty-four".