466480640 has 80 divisors (see below), whose sum is σ = 1142551872. Its totient is φ = 182575104.

The previous prime is 466480639. The next prime is 466480649. The reversal of 466480640 is 46084664.

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

It is a junction number, because it is equal to n+sod(n) for n = 466480594 and 466480603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466480649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118382 + ... + 122258.

Almost surely, 2^466480640 is an apocalyptic number.

466480640 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 466480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571275936).

466480640 is an abundant number, since it is smaller than the sum of its proper divisors (676071232).

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

466480640 is an equidigital number, since it uses as much as digits as its factorization.

466480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 466480640 is about 21598.1628848381. The cubic root of 466480640 is about 775.5525106255.

The spelling of 466480640 in words is "four hundred sixty-six million, four hundred eighty thousand, six hundred forty".