463772064 has 144 divisors (see below), whose sum is σ = 1490983200. Its totient is φ = 125508096.

The previous prime is 463772063. The next prime is 463772117. The reversal of 463772064 is 460277364.

It is not an unprimeable number, because it can be changed into a prime (463772063) 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 23 ways as a sum of consecutive naturals, for example, 86782 + ... + 91970.

It is an arithmetic number, because the mean of its divisors is an integer number (10354050).

Almost surely, 2^463772064 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 463772064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745491600).

463772064 is an abundant number, since it is smaller than the sum of its proper divisors (1027211136).

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

463772064 is a wasteful number, since it uses less digits than its factorization.

463772064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 463772064 is about 21535.3677470342. The cubic root of 463772064 is about 774.0485383765.

The spelling of 463772064 in words is "four hundred sixty-three million, seven hundred seventy-two thousand, sixty-four".