461664000 has 432 divisors, whose sum is σ = 1906806720. Its totient is φ = 105062400.

The previous prime is 461663971. The next prime is 461664001. The reversal of 461664000 is 466164.

461664000 is a `hidden beast` number, since 4 + 6 + 16 + 640 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461664001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015886 + ... + 2016114.

Almost surely, 2^461664000 is an apocalyptic number.

461664000 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 461664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953403360).

461664000 is an abundant number, since it is smaller than the sum of its proper divisors (1445142720).

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

461664000 is a wasteful number, since it uses less digits than its factorization.

461664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 461664000 is about 21486.3677712172. The cubic root of 461664000 is about 772.8739509753.

The spelling of 461664000 in words is "four hundred sixty-one million, six hundred sixty-four thousand".