466056115200 has 1848 divisors, whose sum is σ = 1992531016728. Its totient is φ = 107017666560.

The previous prime is 466056115169. The next prime is 466056115219. The reversal of 466056115200 is 2511650664.

466056115200 is a `hidden beast` number, since 4 + 6 + 60 + 561 + 15 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 289736745984 + 176319369216 = 538272^2 + 419904^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4124390344 + ... + 4124390456.

Almost surely, 2^466056115200 is an apocalyptic number.

466056115200 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 466056115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996265508364).

466056115200 is an abundant number, since it is smaller than the sum of its proper divisors (1526474901528).

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

466056115200 is a wasteful number, since it uses less digits than its factorization.

466056115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 466056115200 its reverse (2511650664), we get a palindrome (468567765864).

It can be divided in two parts, 46605 and 6115200, that added together give a triangular number (6161805 = T₃₅₁₀).

The spelling of 466056115200 in words is "four hundred sixty-six billion, fifty-six million, one hundred fifteen thousand, two hundred".