463935047328 has 72 divisors (see below), whose sum is σ = 1361873874816. Its totient is φ = 149656464000.

The previous prime is 463935047309. The next prime is 463935047339. The reversal of 463935047328 is 823740539364.

463935047328 is a `hidden beast` number, since 4 + 63 + 9 + 3 + 504 + 73 + 2 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25973098 + ... + 25990953.

It is an arithmetic number, because the mean of its divisors is an integer number (18914914928).

Almost surely, 2^463935047328 is an apocalyptic number.

463935047328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

463935047328 is an abundant number, since it is smaller than the sum of its proper divisors (897938827488).

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

463935047328 is a wasteful number, since it uses less digits than its factorization.

463935047328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51964098 (or 51964087 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 463935047328 in words is "four hundred sixty-three billion, nine hundred thirty-five million, forty-seven thousand, three hundred twenty-eight".