462852 has 72 divisors (see below), whose sum is σ = 1345344. Its totient is φ = 133056.

The previous prime is 462851. The next prime is 462863. The reversal of 462852 is 258264.

462852 = T₁₀₃ + T₁₀₄ + ... + T₁₅₆.

It is not an unprimeable number, because it can be changed into a prime (462851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10743 + ... + 10785.

2⁴⁶²⁸⁵² 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 462852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672672).

462852 is an abundant number, since it is smaller than the sum of its proper divisors (882492).

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

462852 is a wasteful number, since it uses less digits than its factorization.

462852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 84 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 462852 is about 680.3322717614. The cubic root of 462852 is about 77.3536328663.

The spelling of 462852 in words is "four hundred sixty-two thousand, eight hundred fifty-two".