864970480 has 80 divisors (see below), whose sum is σ = 2199859200. Its totient is φ = 313678080.

The previous prime is 864970433. The next prime is 864970487. The reversal of 864970480 is 84079468.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 864970480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864970487) 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, 385201 + ... + 387439.

It is an arithmetic number, because the mean of its divisors is an integer number (27498240).

Almost surely, 2^864970480 is an apocalyptic number.

864970480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864970480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099929600).

864970480 is an abundant number, since it is smaller than the sum of its proper divisors (1334888720).

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

864970480 is a wasteful number, since it uses less digits than its factorization.

864970480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 864970480 is about 29410.3804803678. The cubic root of 864970480 is about 952.7971044525.

The spelling of 864970480 in words is "eight hundred sixty-four million, nine hundred seventy thousand, four hundred eighty".