466816960 has 56 divisors (see below), whose sum is σ = 1114873056. Its totient is φ = 186178560.

The previous prime is 466816949. The next prime is 466817011. The reversal of 466816960 is 69618664.

It is a self number, because there is not a number n which added to its sum of digits gives 466816960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117405 + ... + 121315.

Almost surely, 2^466816960 is an apocalyptic number.

466816960 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 466816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557436528).

466816960 is an abundant number, since it is smaller than the sum of its proper divisors (648056096).

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

466816960 is a wasteful number, since it uses less digits than its factorization.

466816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4291 counting only the distinct ones).

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

The square root of 466816960 is about 21605.9473293813. The cubic root of 466816960 is about 775.7388500205.

The spelling of 466816960 in words is "four hundred sixty-six million, eight hundred sixteen thousand, nine hundred sixty".