466103784960 has 960 divisors, whose sum is σ = 1804901978880. Its totient is φ = 110223360000.

The previous prime is 466103784899. The next prime is 466103784989. The reversal of 466103784960 is 69487301664.

466103784960 is a `hidden beast` number, since 46 + 6 + 103 + 7 + 8 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 466103784897 and 466103784906.

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 95 ways as a sum of consecutive naturals, for example, 3353264571 + ... + 3353264709.

It is an arithmetic number, because the mean of its divisors is an integer number (1880106228).

Almost surely, 2^466103784960 is an apocalyptic number.

466103784960 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 466103784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902450989440).

466103784960 is an abundant number, since it is smaller than the sum of its proper divisors (1338798193920).

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

466103784960 is a wasteful number, since it uses less digits than its factorization.

466103784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 466103784960 in words is "four hundred sixty-six billion, one hundred three million, seven hundred eighty-four thousand, nine hundred sixty".