466968160 has 72 divisors (see below), whose sum is σ = 1125502560. Its totient is φ = 183086592.

The previous prime is 466968133. The next prime is 466968163. The reversal of 466968160 is 61869664.

It is a self number, because there is not a number n which added to its sum of digits gives 466968160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466968163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448921 + ... + 449959.

It is an arithmetic number, because the mean of its divisors is an integer number (15631980).

Almost surely, 2^466968160 is an apocalyptic number.

466968160 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 466968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562751280).

466968160 is an abundant number, since it is smaller than the sum of its proper divisors (658534400).

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

466968160 is a wasteful number, since it uses less digits than its factorization.

466968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1099 counting only the distinct ones).

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

The square root of 466968160 is about 21609.4460826741. The cubic root of 466968160 is about 775.8225938023.

The spelling of 466968160 in words is "four hundred sixty-six million, nine hundred sixty-eight thousand, one hundred sixty".