864464468 has 36 divisors (see below), whose sum is σ = 1768227552. Its totient is φ = 368711280.

The previous prime is 864464443. The next prime is 864464473.

864464468 = T₄₇₇ + T₄₇₈ + ... + T₁₇₄₂.

864464468 is nontrivially palindromic in base 10.

864464468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30905 + ... + 51807.

It is an arithmetic number, because the mean of its divisors is an integer number (49117432).

Almost surely, 2^864464468 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 864464468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884113776).

864464468 is an abundant number, since it is smaller than the sum of its proper divisors (903763084).

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

864464468 is a wasteful number, since it uses less digits than its factorization.

864464468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21132 (or 21123 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 50.

The square root of 864464468 is about 29401.7766129872. The cubic root of 864464468 is about 952.6112712070.

The spelling of 864464468 in words is "eight hundred sixty-four million, four hundred sixty-four thousand, four hundred sixty-eight".