408100385 has 64 divisors (see below), whose sum is σ = 674832384. Its totient is φ = 228940800.

The previous prime is 408100379. The next prime is 408100391. The reversal of 408100385 is 583001804.

It is an interprime number because it is at equal distance from previous prime (408100379) and next prime (408100391).

It is not a de Polignac number, because 408100385 - 2⁴ = 408100369 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149180 + ... + 151890.

It is an arithmetic number, because the mean of its divisors is an integer number (10544256).

Almost surely, 2^408100385 is an apocalyptic number.

It is an amenable number.

408100385 is a deficient number, since it is larger than the sum of its proper divisors (266731999).

408100385 is a wasteful number, since it uses less digits than its factorization.

408100385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 408100385 is about 20201.4946229233. The cubic root of 408100385 is about 741.7467774145.

The spelling of 408100385 in words is "four hundred eight million, one hundred thousand, three hundred eighty-five".