864358464 has 56 divisors (see below), whose sum is σ = 2310575008. Its totient is φ = 285143040.

The previous prime is 864358459. The next prime is 864358483. The reversal of 864358464 is 464853468.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4582 + ... + 41829.

It is an arithmetic number, because the mean of its divisors is an integer number (41260268).

Almost surely, 2^864358464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864358464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155287504).

864358464 is an abundant number, since it is smaller than the sum of its proper divisors (1446216544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

864358464 is a wasteful number, since it uses less digits than its factorization.

864358464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46523 (or 46513 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 864358464 is about 29399.9738775394. The cubic root of 864358464 is about 952.5723319806.

The spelling of 864358464 in words is "eight hundred sixty-four million, three hundred fifty-eight thousand, four hundred sixty-four".