466960 has 40 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 172032.

The previous prime is 466957. The next prime is 466997. The reversal of 466960 is 69664.

466960 = T₁₁ + T₁₂ + ... + T₁₄₀.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 451584 = 124^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 816 + ... + 1264.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2⁴⁶⁶⁹⁶⁰ is an apocalyptic number.

466960 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 466960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585900).

466960 is an abundant number, since it is smaller than the sum of its proper divisors (704840).

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

466960 is a wasteful number, since it uses less digits than its factorization.

466960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 466960 is about 683.3447153524. The cubic root of 466960 is about 77.5818074758.

The spelling of 466960 in words is "four hundred sixty-six thousand, nine hundred sixty".