462336768 has 72 divisors (see below), whose sum is σ = 1367231600. Its totient is φ = 154109952.

The previous prime is 462336761. The next prime is 462336779. The reversal of 462336768 is 867633264.

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

It is not an unprimeable number, because it can be changed into a prime (462336761) 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 7 ways as a sum of consecutive naturals, for example, 26533 + ... + 40356.

Almost surely, 2^462336768 is an apocalyptic number.

462336768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

462336768 is an abundant number, since it is smaller than the sum of its proper divisors (904894832).

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

462336768 is an equidigital number, since it uses as much as digits as its factorization.

462336768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66914 (or 66894 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 462336768 is about 21502.0177657819. The cubic root of 462336768 is about 773.2491968182.

The spelling of 462336768 in words is "four hundred sixty-two million, three hundred thirty-six thousand, seven hundred sixty-eight".