864834480 has 120 divisors (see below), whose sum is σ = 2910885120. Its totient is φ = 230108160.

The previous prime is 864834473. The next prime is 864834511. The reversal of 864834480 is 84438468.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408625 + ... + 410735.

It is an arithmetic number, because the mean of its divisors is an integer number (24257376).

Almost surely, 2^864834480 is an apocalyptic number.

864834480 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 864834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455442560).

864834480 is an abundant number, since it is smaller than the sum of its proper divisors (2046050640).

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

864834480 is a wasteful number, since it uses less digits than its factorization.

864834480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 864834480 is about 29408.0682806607. The cubic root of 864834480 is about 952.7471654849.

The spelling of 864834480 in words is "eight hundred sixty-four million, eight hundred thirty-four thousand, four hundred eighty".