464008032 has 36 divisors (see below), whose sum is σ = 1319523660. Its totient is φ = 154669248.

The previous prime is 464008019. The next prime is 464008067. The reversal of 464008032 is 230800464.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 464007987 and 464008005.

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 5 ways as a sum of consecutive naturals, for example, 805282 + ... + 805857.

It is an arithmetic number, because the mean of its divisors is an integer number (36653435).

Almost surely, 2^464008032 is an apocalyptic number.

It is an amenable number.

464008032 is an abundant number, since it is smaller than the sum of its proper divisors (855515628).

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

464008032 is a wasteful number, since it uses less digits than its factorization.

464008032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611155 (or 1611144 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 464008032 is about 21540.8456658507. The cubic root of 464008032 is about 774.1797951804.

Adding to 464008032 its reverse (230800464), we get a palindrome (694808496).

The spelling of 464008032 in words is "four hundred sixty-four million, eight thousand, thirty-two".