464000432 has 40 divisors (see below), whose sum is σ = 1038996000. Its totient is φ = 196618752.

The previous prime is 464000429. The next prime is 464000441. The reversal of 464000432 is 234000464.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 464000398 and 464000407.

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, 13307 + ... + 33242.

It is an arithmetic number, because the mean of its divisors is an integer number (25974900).

Almost surely, 2^464000432 is an apocalyptic number.

It is an amenable number.

464000432 is an abundant number, since it is smaller than the sum of its proper divisors (574995568).

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

464000432 is a wasteful number, since it uses less digits than its factorization.

464000432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46653 (or 46647 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 464000432 is about 21540.6692560839. The cubic root of 464000432 is about 774.1755683868.

Adding to 464000432 its reverse (234000464), we get a palindrome (698000896).

The spelling of 464000432 in words is "four hundred sixty-four million, four hundred thirty-two", and thus it is an aban number.