463929984 has 256 divisors, whose sum is σ = 1587609600. Its totient is φ = 130636800.

The previous prime is 463929971. The next prime is 463930001. The reversal of 463929984 is 489929364.

463929984 is a `hidden beast` number, since 463 + 92 + 9 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 463929984.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3072309 + ... + 3072459.

It is an arithmetic number, because the mean of its divisors is an integer number (6201600).

Almost surely, 2^463929984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463929984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793804800).

463929984 is an abundant number, since it is smaller than the sum of its proper divisors (1123679616).

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

463929984 is a wasteful number, since it uses less digits than its factorization.

463929984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 290 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 463929984 is about 21539.0339616242. The cubic root of 463929984 is about 774.1363860376.

The spelling of 463929984 in words is "four hundred sixty-three million, nine hundred twenty-nine thousand, nine hundred eighty-four".