464000464 has 40 divisors (see below), whose sum is σ = 939303720. Its totient is φ = 221760000.

The previous prime is 464000447. The next prime is 464000489.

464000464 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 324288064 + 139712400 = 18008^2 + 11820^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41914 + ... + 51814.

It is an arithmetic number, because the mean of its divisors is an integer number (23482593).

Almost surely, 2^464000464 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 464000464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469651860).

464000464 is an abundant number, since it is smaller than the sum of its proper divisors (475303256).

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

464000464 is a wasteful number, since it uses less digits than its factorization.

464000464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10039 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 464000464 is about 21540.6699988649. The cubic root of 464000464 is about 774.1755861839.

It can be divided in two parts, 464000 and 464, that added together give a palindrome (464464).

The spelling of 464000464 in words is "four hundred sixty-four million, four hundred sixty-four", and thus it is an aban number.