411563385 has 48 divisors (see below), whose sum is σ = 729787968. Its totient is φ = 214512000.

The previous prime is 411563333. The next prime is 411563393. The reversal of 411563385 is 583365114.

411563385 is a `hidden beast` number, since 4 + 1 + 15 + 633 + 8 + 5 = 666.

It is not a de Polignac number, because 411563385 - 2⁸ = 411563129 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376690 + ... + 377780.

It is an arithmetic number, because the mean of its divisors is an integer number (15203916).

Almost surely, 2^411563385 is an apocalyptic number.

411563385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

411563385 is a deficient number, since it is larger than the sum of its proper divisors (318224583).

411563385 is a wasteful number, since it uses less digits than its factorization.

411563385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1283 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 411563385 is about 20287.0250406510. The cubic root of 411563385 is about 743.8389403795.

The spelling of 411563385 in words is "four hundred eleven million, five hundred sixty-three thousand, three hundred eighty-five".