463240064 has 64 divisors (see below), whose sum is σ = 1110249600. Its totient is φ = 188075520.

The previous prime is 463240051. The next prime is 463240067. The reversal of 463240064 is 460042364.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463240067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3419 + ... + 30629.

It is an arithmetic number, because the mean of its divisors is an integer number (17347650).

Almost surely, 2^463240064 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 463240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555124800).

463240064 is an abundant number, since it is smaller than the sum of its proper divisors (647009536).

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

463240064 is a wasteful number, since it uses less digits than its factorization.

463240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27251 (or 27239 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 463240064 is about 21523.0124285612. The cubic root of 463240064 is about 773.7524508419.

The spelling of 463240064 in words is "four hundred sixty-three million, two hundred forty thousand, sixty-four".