463122016 has 48 divisors (see below), whose sum is σ = 1055255040. Its totient is φ = 195960960.

The previous prime is 463122013. The next prime is 463122047. The reversal of 463122016 is 610221364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463122013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4611 + ... + 30781.

It is an arithmetic number, because the mean of its divisors is an integer number (21984480).

Almost surely, 2^463122016 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 463122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527627520).

463122016 is an abundant number, since it is smaller than the sum of its proper divisors (592133024).

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

463122016 is a wasteful number, since it uses less digits than its factorization.

463122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26267 (or 26259 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 463122016 is about 21520.2698867835. The cubic root of 463122016 is about 773.6867198482.

The spelling of 463122016 in words is "four hundred sixty-three million, one hundred twenty-two thousand, sixteen".