415385161 has 9 divisors (see below), whose sum is σ = 421947381. Its totient is φ = 408924384.

The previous prime is 415385153. The next prime is 415385167. The reversal of 415385161 is 161583514.

The square root of 415385161 is 20381.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14584761 + 400800400 = 3819^2 + 20020^2 .

It is not a de Polignac number, because 415385161 - 2³ = 415385153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415385167) 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 8 ways as a sum of consecutive naturals, for example, 1813795 + ... + 1814023.

Almost surely, 2^415385161 is an apocalyptic number.

415385161 is the 20381-st square number.

415385161 is the 10191-st centered octagonal number.

It is an amenable number.

415385161 is a deficient number, since it is larger than the sum of its proper divisors (6562220).

415385161 is an frugal number, since it uses more digits than its factorization.

415385161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 318 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

The cubic root of 415385161 is about 746.1342786459.

Multiplying 415385161 by its product of digits (14400), we get a square (5981546318400 = 2445720²).

The spelling of 415385161 in words is "four hundred fifteen million, three hundred eighty-five thousand, one hundred sixty-one".