463972 has 12 divisors (see below), whose sum is σ = 817516. Its totient is φ = 230400.

The previous prime is 463963. The next prime is 463973. The reversal of 463972 is 279364.

It can be written as a sum of positive squares in 2 ways, for example, as 256036 + 207936 = 506^2 + 456^2 .

It is not an unprimeable number, because it can be changed into a prime (463973) by changing a digit.

463972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 472 + ... + 1072.

2⁴⁶³⁹⁷² is an apocalyptic number.

It is an amenable number.

463972 is a deficient number, since it is larger than the sum of its proper divisors (353544).

463972 is a wasteful number, since it uses less digits than its factorization.

463972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 796 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 463972 is about 681.1549016193. The cubic root of 463972 is about 77.4159755320.

The spelling of 463972 in words is "four hundred sixty-three thousand, nine hundred seventy-two".