463249256928 has 48 divisors (see below), whose sum is σ = 1216064457216. Its totient is φ = 154411954560.

The previous prime is 463249256867. The next prime is 463249256929. The reversal of 463249256928 is 829652942364.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463249256929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6047475 + ... + 6123597.

It is an arithmetic number, because the mean of its divisors is an integer number (25334676192).

Almost surely, 2^463249256928 is an apocalyptic number.

463249256928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

463249256928 is an abundant number, since it is smaller than the sum of its proper divisors (752815200288).

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

463249256928 is a wasteful number, since it uses less digits than its factorization.

463249256928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139527 (or 139519 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 60.

The spelling of 463249256928 in words is "four hundred sixty-three billion, two hundred forty-nine million, two hundred fifty-six thousand, nine hundred twenty-eight".