463984128 has 120 divisors (see below), whose sum is σ = 1418098968. Its totient is φ = 145539072.

The previous prime is 463984127. The next prime is 463984133. The reversal of 463984128 is 821489364.

It is a happy number.

463984128 is a `hidden beast` number, since 4 + 639 + 8 + 4 + 1 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463984121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75375 + ... + 81297.

Almost surely, 2^463984128 is an apocalyptic number.

463984128 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 463984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709049484).

463984128 is an abundant number, since it is smaller than the sum of its proper divisors (954114840).

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

463984128 is a wasteful number, since it uses less digits than its factorization.

463984128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 5945 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 463984128 is about 21540.2908058364. The cubic root of 463984128 is about 774.1665006465.

The spelling of 463984128 in words is "four hundred sixty-three million, nine hundred eighty-four thousand, one hundred twenty-eight".