409814145 has 24 divisors (see below), whose sum is σ = 764987496. Its totient is φ = 201754368.

The previous prime is 409814089. The next prime is 409814231. The reversal of 409814145 is 541418904.

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 401240961 = 2928^2 + 20031^2 .

It is not a de Polignac number, because 409814145 - 2²¹ = 407716993 is a prime.

It is an unprimeable number.

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, 349684 + ... + 350853.

It is an arithmetic number, because the mean of its divisors is an integer number (31874479).

Almost surely, 2^409814145 is an apocalyptic number.

409814145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409814145 is a deficient number, since it is larger than the sum of its proper divisors (355173351).

409814145 is a wasteful number, since it uses less digits than its factorization.

409814145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700561 (or 700558 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 409814145 is about 20243.8668489990. The cubic root of 409814145 is about 742.7836144028.

The spelling of 409814145 in words is "four hundred nine million, eight hundred fourteen thousand, one hundred forty-five".