408109953 has 16 divisors (see below), whose sum is σ = 587387520. Its totient is φ = 251268864.

The previous prime is 408109951. The next prime is 408109967. The reversal of 408109953 is 359901804.

It is not a de Polignac number, because 408109953 - 2¹ = 408109951 is a prime.

It is not an unprimeable number, because it can be changed into a prime (408109951) 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 15 ways as a sum of consecutive naturals, for example, 99976 + ... + 103977.

It is an arithmetic number, because the mean of its divisors is an integer number (36711720).

Almost surely, 2^408109953 is an apocalyptic number.

It is an amenable number.

408109953 is a deficient number, since it is larger than the sum of its proper divisors (179277567).

408109953 is a wasteful number, since it uses less digits than its factorization.

408109953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204008.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 408109953 is about 20201.7314356963. The cubic root of 408109953 is about 741.7525741727.

The spelling of 408109953 in words is "four hundred eight million, one hundred nine thousand, nine hundred fifty-three".