462952 has 24 divisors (see below), whose sum is σ = 1010610. Its totient is φ = 198240.

The previous prime is 462947. The next prime is 462953. The reversal of 462952 is 259264.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 164836 = 546^2 + 406^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 462952.

It is not an unprimeable number, because it can be changed into a prime (462953) by changing a digit.

462952 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 199 + ... + 982.

2⁴⁶²⁹⁵² is an apocalyptic number.

It is an amenable number.

462952 is an abundant number, since it is smaller than the sum of its proper divisors (547658).

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

462952 is a wasteful number, since it uses less digits than its factorization.

462952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1190 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 462952 is about 680.4057612925. The cubic root of 462952 is about 77.3592032619.

The spelling of 462952 in words is "four hundred sixty-two thousand, nine hundred fifty-two".