462312 has 24 divisors (see below), whose sum is σ = 1252290. Its totient is φ = 154080.

The previous prime is 462311. The next prime is 462331. The reversal of 462312 is 213264.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 427716 + 34596 = 654^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 not an unprimeable number, because it can be changed into a prime (462311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3139 + ... + 3282.

2⁴⁶²³¹² is an apocalyptic number.

It is an amenable number.

462312 is an abundant number, since it is smaller than the sum of its proper divisors (789978).

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

462312 is a wasteful number, since it uses less digits than its factorization.

462312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6433 (or 6426 counting only the distinct ones).

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

The square root of 462312 is about 679.9352910388. The cubic root of 462312 is about 77.3235388573.

Adding to 462312 its reverse (213264), we get a palindrome (675576).

The spelling of 462312 in words is "four hundred sixty-two thousand, three hundred twelve".