466296488960 has 176 divisors, whose sum is σ = 1131533290800. Its totient is φ = 184364826624.

The previous prime is 466296488953. The next prime is 466296488969. The reversal of 466296488960 is 69884692664.

It can be written as a sum of positive squares in 8 ways, for example, as 28073672704 + 438222816256 = 167552^2 + 661984^2 .

It is not an unprimeable number, because it can be changed into a prime (466296488969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330940736 + ... + 330942144.

It is an arithmetic number, because the mean of its divisors is an integer number (6429166425).

Almost surely, 2^466296488960 is an apocalyptic number.

466296488960 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 466296488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565766645400).

466296488960 is an abundant number, since it is smaller than the sum of its proper divisors (665236801840).

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

466296488960 is a wasteful number, since it uses less digits than its factorization.

466296488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 68.

The spelling of 466296488960 in words is "four hundred sixty-six billion, two hundred ninety-six million, four hundred eighty-eight thousand, nine hundred sixty".