464832704 has 56 divisors (see below), whose sum is σ = 1064715168. Its totient is φ = 197222400.

The previous prime is 464832661. The next prime is 464832707. The reversal of 464832704 is 407238464.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (464832707) by changing a digit.

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, 40112 + ... + 50384.

Almost surely, 2^464832704 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 464832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532357584).

464832704 is an abundant number, since it is smaller than the sum of its proper divisors (599882464).

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

464832704 is a wasteful number, since it uses less digits than its factorization.

464832704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393 (or 10383 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 464832704 is about 21559.9792207692. The cubic root of 464832704 is about 774.6381683821.

The spelling of 464832704 in words is "four hundred sixty-four million, eight hundred thirty-two thousand, seven hundred four".