462132 has 48 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 139680.

The previous prime is 462131. The next prime is 462149. The reversal of 462132 is 231264.

It is a happy number.

462132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994 + ... + 1382.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2⁴⁶²¹³² 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 462132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

462132 is an abundant number, since it is smaller than the sum of its proper divisors (848268).

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

462132 is a wasteful number, since it uses less digits than its factorization.

462132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 462132 is about 679.8029126151. The cubic root of 462132 is about 77.3135023137.

Adding to 462132 its reverse (231264), we get a palindrome (693396).

The spelling of 462132 in words is "four hundred sixty-two thousand, one hundred thirty-two".