864238401 has 24 divisors (see below), whose sum is σ = 1423454760. Its totient is φ = 500553216.

The previous prime is 864238393. The next prime is 864238411. The reversal of 864238401 is 104832468.

864238401 is a `hidden beast` number, since 8 + 642 + 3 + 8 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 276224400 + 588014001 = 16620^2 + 24249^2 .

It is not a de Polignac number, because 864238401 - 2³ = 864238393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (864238411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215266 + ... + 219243.

It is an arithmetic number, because the mean of its divisors is an integer number (59310615).

Almost surely, 2^864238401 is an apocalyptic number.

It is an amenable number.

864238401 is a deficient number, since it is larger than the sum of its proper divisors (559216359).

864238401 is a wasteful number, since it uses less digits than its factorization.

864238401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434545 (or 434542 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 864238401 is about 29397.9319170584. The cubic root of 864238401 is about 952.5282245134.

The spelling of 864238401 in words is "eight hundred sixty-four million, two hundred thirty-eight thousand, four hundred one".