466801056 has 144 divisors (see below), whose sum is σ = 1388578464. Its totient is φ = 154255104.

The previous prime is 466801043. The next prime is 466801099. The reversal of 466801056 is 650108664.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 466801056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1345075 + ... + 1345421.

It is an arithmetic number, because the mean of its divisors is an integer number (9642906).

Almost surely, 2^466801056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466801056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694289232).

466801056 is an abundant number, since it is smaller than the sum of its proper divisors (921777408).

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

466801056 is a wasteful number, since it uses less digits than its factorization.

466801056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 466801056 is about 21605.5792794361. The cubic root of 466801056 is about 775.7300403643.

The spelling of 466801056 in words is "four hundred sixty-six million, eight hundred one thousand, fifty-six".