462472 has 8 divisors (see below), whose sum is σ = 867150. Its totient is φ = 231232.

The previous prime is 462467. The next prime is 462481. The reversal of 462472 is 274264.

It can be written as a sum of positive squares in only one way, i.e., 401956 + 60516 = 634^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×462472³ = 296741020763334144, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28897 + ... + 28912.

2⁴⁶²⁴⁷² is an apocalyptic number.

It is an amenable number.

462472 is a deficient number, since it is larger than the sum of its proper divisors (404678).

462472 is a wasteful number, since it uses less digits than its factorization.

462472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57815 (or 57811 counting only the distinct ones).

The product of its digits is 2688, while the sum is 25.

The square root of 462472 is about 680.0529391158. The cubic root of 462472 is about 77.3324580427.

The spelling of 462472 in words is "four hundred sixty-two thousand, four hundred seventy-two".