409744305 has 16 divisors (see below), whose sum is σ = 728434560. Its totient is φ = 218530224.

The previous prime is 409744301. The next prime is 409744331. The reversal of 409744305 is 503447904.

It is not a de Polignac number, because 409744305 - 2² = 409744301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 409744305.

It is not an unprimeable number, because it can be changed into a prime (409744301) 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, 1517437 + ... + 1517706.

It is an arithmetic number, because the mean of its divisors is an integer number (45527160).

Almost surely, 2^409744305 is an apocalyptic number.

409744305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409744305 is a deficient number, since it is larger than the sum of its proper divisors (318690255).

409744305 is a wasteful number, since it uses less digits than its factorization.

409744305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035157 (or 3035151 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 409744305 is about 20242.1418086130. The cubic root of 409744305 is about 742.7414172626.

The spelling of 409744305 in words is "four hundred nine million, seven hundred forty-four thousand, three hundred five".