463072 has 24 divisors (see below), whose sum is σ = 945000. Its totient is φ = 223104.

The previous prime is 463033. The next prime is 463093. The reversal of 463072 is 270364.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 679 + ... + 1177.

It is an arithmetic number, because the mean of its divisors is an integer number (39375).

2⁴⁶³⁰⁷² 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 463072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472500).

463072 is an abundant number, since it is smaller than the sum of its proper divisors (481928).

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

463072 is a wasteful number, since it uses less digits than its factorization.

463072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 463072 is about 680.4939382537. The cubic root of 463072 is about 77.3658866779.

The spelling of 463072 in words is "four hundred sixty-three thousand, seventy-two".