463272 has 32 divisors (see below), whose sum is σ = 1176000. Its totient is φ = 152064.

The previous prime is 463261. The next prime is 463283. The reversal of 463272 is 272364.

It is an interprime number because it is at equal distance from previous prime (463261) and next prime (463283).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 4⁹ + 6⁶ + 2⁵ + 3⁸ + 7⁵ + 2¹⁷ .

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, 2229 + ... + 2427.

It is an arithmetic number, because the mean of its divisors is an integer number (36750).

2⁴⁶³²⁷² is an apocalyptic number.

It is an amenable number.

463272 is an abundant number, since it is smaller than the sum of its proper divisors (712728).

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

463272 is a wasteful number, since it uses less digits than its factorization.

463272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 463272 is about 680.6408744705. The cubic root of 463272 is about 77.3770231393.

The spelling of 463272 in words is "four hundred sixty-three thousand, two hundred seventy-two".