462096 has 30 divisors (see below), whose sum is σ = 1293630. Its totient is φ = 153984.

The previous prime is 462079. The next prime is 462097. The reversal of 462096 is 690264.

It can be written as a sum of positive squares in only one way, i.e., 404496 + 57600 = 636^2 + 240^2 .

It is not an unprimeable number, because it can be changed into a prime (462097) by changing a digit.

462096 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, 1461 + ... + 1748.

It is an arithmetic number, because the mean of its divisors is an integer number (43121).

2⁴⁶²⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

462096 is an abundant number, since it is smaller than the sum of its proper divisors (831534).

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

462096 is a wasteful number, since it uses less digits than its factorization.

462096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 462096 is about 679.7764338369. The cubic root of 462096 is about 77.3114946922.

The spelling of 462096 in words is "four hundred sixty-two thousand, ninety-six".