463126816 has 48 divisors (see below), whose sum is σ = 943034400. Its totient is φ = 223736320.

The previous prime is 463126757. The next prime is 463126883. The reversal of 463126816 is 618621364.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138735 + ... + 142033.

It is an arithmetic number, because the mean of its divisors is an integer number (19646550).

Almost surely, 2^463126816 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 463126816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471517200).

463126816 is an abundant number, since it is smaller than the sum of its proper divisors (479907584).

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

463126816 is a wasteful number, since it uses less digits than its factorization.

463126816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3449 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 463126816 is about 21520.3814092595. The cubic root of 463126816 is about 773.6893927820.

The spelling of 463126816 in words is "four hundred sixty-three million, one hundred twenty-six thousand, eight hundred sixteen".