408993141 has 16 divisors (see below), whose sum is σ = 549800064. Its totient is φ = 270434304.

The previous prime is 408993139. The next prime is 408993149. The reversal of 408993141 is 141399804.

It is not a de Polignac number, because 408993141 - 2¹ = 408993139 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 408993141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408993149) 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, 201765 + ... + 203781.

It is an arithmetic number, because the mean of its divisors is an integer number (34362504).

Almost surely, 2^408993141 is an apocalyptic number.

It is an amenable number.

408993141 is a deficient number, since it is larger than the sum of its proper divisors (140806923).

408993141 is a wasteful number, since it uses less digits than its factorization.

408993141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 408993141 is about 20223.5788375846. The cubic root of 408993141 is about 742.2872625691.

The spelling of 408993141 in words is "four hundred eight million, nine hundred ninety-three thousand, one hundred forty-one".