463980608 has 168 divisors, whose sum is σ = 1216152000. Its totient is φ = 173601792.

The previous prime is 463980607. The next prime is 463980611. The reversal of 463980608 is 806089364.

It is not an unprimeable number, because it can be changed into a prime (463980607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774293 + ... + 774891.

It is an arithmetic number, because the mean of its divisors is an integer number (7239000).

Almost surely, 2^463980608 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 463980608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608076000).

463980608 is an abundant number, since it is smaller than the sum of its proper divisors (752171392).

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

463980608 is a wasteful number, since it uses less digits than its factorization.

463980608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 463980608 is about 21540.2090983351. The cubic root of 463980608 is about 774.1645429121.

The spelling of 463980608 in words is "four hundred sixty-three million, nine hundred eighty thousand, six hundred eight".