466798412160 has 896 divisors, whose sum is σ = 1726204629600. Its totient is φ = 120609865728.

The previous prime is 466798412033. The next prime is 466798412237. The reversal of 466798412160 is 61214897664.

466798412160 is a `hidden beast` number, since 4 + 6 + 67 + 9 + 8 + 412 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 466798412097 and 466798412106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3407287612 + ... + 3407287748.

Almost surely, 2^466798412160 is an apocalyptic number.

466798412160 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 466798412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863102314800).

466798412160 is an abundant number, since it is smaller than the sum of its proper divisors (1259406217440).

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

466798412160 is a wasteful number, since it uses less digits than its factorization.

466798412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 466798412160 in words is "four hundred sixty-six billion, seven hundred ninety-eight million, four hundred twelve thousand, one hundred sixty".