466320 has 80 divisors (see below), whose sum is σ = 1517760. Its totient is φ = 118272.

The previous prime is 466303. The next prime is 466321. The reversal of 466320 is 23664.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (466321) by changing a digit.

466320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6927 + ... + 6993.

It is an arithmetic number, because the mean of its divisors is an integer number (18972).

466320 is a Friedman number, since it can be written as 60*(6^(3+2)-4), using all its digits and the basic arithmetic operations.

2⁴⁶⁶³²⁰ is an apocalyptic number.

466320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880).

466320 is an abundant number, since it is smaller than the sum of its proper divisors (1051440).

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

466320 is a wasteful number, since it uses less digits than its factorization.

466320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 466320 is about 682.8762699055. The cubic root of 466320 is about 77.5463475806.

Adding to 466320 its reverse (23664), we get a palindrome (489984).

The spelling of 466320 in words is "four hundred sixty-six thousand, three hundred twenty".