466470144 has 288 divisors, whose sum is σ = 1632583680. Its totient is φ = 128563200.

The previous prime is 466470139. The next prime is 466470167. The reversal of 466470144 is 441074664.

466470144 is a `hidden beast` number, since 4 + 6 + 647 + 0 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 466470099 and 466470108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499749 + ... + 1500059.

Almost surely, 2^466470144 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 466470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816291840).

466470144 is an abundant number, since it is smaller than the sum of its proper divisors (1166113536).

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

466470144 is a wasteful number, since it uses less digits than its factorization.

466470144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 466470144 is about 21597.9198998422. The cubic root of 466470144 is about 775.5466938351.

The spelling of 466470144 in words is "four hundred sixty-six million, four hundred seventy thousand, one hundred forty-four".