863406417 has 16 divisors (see below), whose sum is σ = 1239983360. Its totient is φ = 532626192.

The previous prime is 863406377. The next prime is 863406419. The reversal of 863406417 is 714604368.

863406417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 863406417 - 2¹⁵ = 863373649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (863406419) 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, 173683 + ... + 178584.

It is an arithmetic number, because the mean of its divisors is an integer number (77498960).

Almost surely, 2^863406417 is an apocalyptic number.

It is an amenable number.

863406417 is a deficient number, since it is larger than the sum of its proper divisors (376576943).

863406417 is a wasteful number, since it uses less digits than its factorization.

863406417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352332.

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 863406417 is about 29383.7781267147. The cubic root of 863406417 is about 952.2224667960. Note that the first 3 decimals are identical.

The spelling of 863406417 in words is "eight hundred sixty-three million, four hundred six thousand, four hundred seventeen".