463442272 has 48 divisors (see below), whose sum is σ = 984947040. Its totient is φ = 213993472.

The previous prime is 463442269. The next prime is 463442297. The reversal of 463442272 is 272244364.

It is a congruent 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, 10488 + ... + 32200.

It is an arithmetic number, because the mean of its divisors is an integer number (20519730).

Almost surely, 2^463442272 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 463442272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492473520).

463442272 is an abundant number, since it is smaller than the sum of its proper divisors (521504768).

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

463442272 is a wasteful number, since it uses less digits than its factorization.

463442272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21775 (or 21767 counting only the distinct ones).

The product of its digits is 64512, while the sum is 34.

The square root of 463442272 is about 21527.7093997480. The cubic root of 463442272 is about 773.8650175131.

The spelling of 463442272 in words is "four hundred sixty-three million, four hundred forty-two thousand, two hundred seventy-two".