463438016 has 56 divisors (see below), whose sum is σ = 945123840. Its totient is φ = 225388800.

The previous prime is 463438013. The next prime is 463438021. The reversal of 463438016 is 610834364.

It is not an unprimeable number, because it can be changed into a prime (463438013) 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 7 ways as a sum of consecutive naturals, for example, 358331 + ... + 359621.

Almost surely, 2^463438016 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 463438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472561920).

463438016 is an abundant number, since it is smaller than the sum of its proper divisors (481685824).

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

463438016 is a wasteful number, since it uses less digits than its factorization.

463438016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 463438016 is about 21527.6105501749. The cubic root of 463438016 is about 773.8626485883.

The spelling of 463438016 in words is "four hundred sixty-three million, four hundred thirty-eight thousand, sixteen".