466168960 has 64 divisors (see below), whose sum is σ = 1130241600. Its totient is φ = 183823360.

The previous prime is 466168943. The next prime is 466168961. The reversal of 466168960 is 69861664.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 466168960.

It is not an unprimeable number, because it can be changed into a prime (466168961) 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, 40311 + ... + 50569.

It is an arithmetic number, because the mean of its divisors is an integer number (17660025).

Almost surely, 2^466168960 is an apocalyptic number.

466168960 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 466168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565120800).

466168960 is an abundant number, since it is smaller than the sum of its proper divisors (664072640).

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

466168960 is a wasteful number, since it uses less digits than its factorization.

466168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10349 (or 10337 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 466168960 is about 21590.9462506857. The cubic root of 466168960 is about 775.3797431392.

The spelling of 466168960 in words is "four hundred sixty-six million, one hundred sixty-eight thousand, nine hundred sixty".