409749146 has 16 divisors (see below), whose sum is σ = 629488104. Its totient is φ = 199977984.

The previous prime is 409749097. The next prime is 409749157. The reversal of 409749146 is 641947904.

It can be written as a sum of positive squares in 4 ways, for example, as 355888225 + 53860921 = 18865^2 + 7339^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 409749097 and 409749106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305 + ... + 28628.

Almost surely, 2^409749146 is an apocalyptic number.

409749146 is a deficient number, since it is larger than the sum of its proper divisors (219738958).

409749146 is a wasteful number, since it uses less digits than its factorization.

409749146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29105.

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 409749146 is about 20242.2613855271. The cubic root of 409749146 is about 742.7443423364.

The spelling of 409749146 in words is "four hundred nine million, seven hundred forty-nine thousand, one hundred forty-six".