463792128 has 192 divisors, whose sum is σ = 1356264000. Its totient is φ = 140378112.

The previous prime is 463792111. The next prime is 463792129. The reversal of 463792128 is 821297364.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 463792128.

It is not an unprimeable number, because it can be changed into a prime (463792129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3385276 + ... + 3385412.

It is an arithmetic number, because the mean of its divisors is an integer number (7063875).

Almost surely, 2^463792128 is an apocalyptic number.

463792128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463792128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678132000).

463792128 is an abundant number, since it is smaller than the sum of its proper divisors (892471872).

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

463792128 is a wasteful number, since it uses less digits than its factorization.

463792128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 463792128 is about 21535.8335803377. The cubic root of 463792128 is about 774.0597006745.

The spelling of 463792128 in words is "four hundred sixty-three million, seven hundred ninety-two thousand, one hundred twenty-eight".