464046688 has 96 divisors (see below), whose sum is σ = 1141475328. Its totient is φ = 181094400.

The previous prime is 464046683. The next prime is 464046701. The reversal of 464046688 is 886640464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464046683) 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 15 ways as a sum of consecutive naturals, for example, 116083 + ... + 120013.

It is an arithmetic number, because the mean of its divisors is an integer number (11890368).

Almost surely, 2^464046688 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 464046688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570737664).

464046688 is an abundant number, since it is smaller than the sum of its proper divisors (677428640).

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

464046688 is a wasteful number, since it uses less digits than its factorization.

464046688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The square root of 464046688 is about 21541.7429192719. The cubic root of 464046688 is about 774.2012932732.

The spelling of 464046688 in words is "four hundred sixty-four million, forty-six thousand, six hundred eighty-eight".