464656032 has 72 divisors (see below), whose sum is σ = 1343078100. Its totient is φ = 152340480.

The previous prime is 464655977. The next prime is 464656033. The reversal of 464656032 is 230656464.

464656032 is a `hidden beast` number, since 4 + 6 + 46 + 5 + 603 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 344622096 + 120033936 = 18564^2 + 10956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (464656033) 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 11 ways as a sum of consecutive naturals, for example, 4344 + ... + 30792.

Almost surely, 2^464656032 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 464656032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671539050).

464656032 is an abundant number, since it is smaller than the sum of its proper divisors (878422068).

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

464656032 is a wasteful number, since it uses less digits than its factorization.

464656032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26526 (or 26515 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 464656032 is about 21555.8816103633. The cubic root of 464656032 is about 774.5400153508.

The spelling of 464656032 in words is "four hundred sixty-four million, six hundred fifty-six thousand, thirty-two".