466476196730400 has 576 divisors, whose sum is σ = 1689316976793600. Its totient is φ = 124229492352000.

The previous prime is 466476196730387. The next prime is 466476196730429. The reversal of 466476196730400 is 4037691674664.

466476196730400 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 7 + 6 + 196 + 7 + 30 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68690351005 + ... + 68690357795.

It is an arithmetic number, because the mean of its divisors is an integer number (2932841973600).

Almost surely, 2^{466476196730400} is an apocalyptic number.

466476196730400 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 466476196730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844658488396800).

466476196730400 is an abundant number, since it is smaller than the sum of its proper divisors (1222840780063200).

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

466476196730400 is a wasteful number, since it uses less digits than its factorization.

466476196730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10550 (or 10531 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 466476196730400 in words is "four hundred sixty-six trillion, four hundred seventy-six billion, one hundred ninety-six million, seven hundred thirty thousand, four hundred".