466413324300 has 1728 divisors, whose sum is σ = 2068427612160. Its totient is φ = 84851712000.

The previous prime is 466413324269. The next prime is 466413324313. The reversal of 466413324300 is 3423314664.

466413324300 is a `hidden beast` number, since 4 + 6 + 641 + 3 + 3 + 2 + 4 + 3 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1499721145 + ... + 1499721455.

It is an arithmetic number, because the mean of its divisors is an integer number (1197006720).

Almost surely, 2^466413324300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466413324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034213806080).

466413324300 is an abundant number, since it is smaller than the sum of its proper divisors (1602014287860).

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

466413324300 is a wasteful number, since it uses less digits than its factorization.

466413324300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 466413324300 its reverse (3423314664), we get a palindrome (469836638964).

The spelling of 466413324300 in words is "four hundred sixty-six billion, four hundred thirteen million, three hundred twenty-four thousand, three hundred".