466466000 has 320 divisors, whose sum is σ = 1520902656. Its totient is φ = 133632000.

The previous prime is 466465991. The next prime is 466466003. The reversal of 466466000 is 664664.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466466003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2001884 + ... + 2002116.

Almost surely, 2^466466000 is an apocalyptic number.

466466000 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 466466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760451328).

466466000 is an abundant number, since it is smaller than the sum of its proper divisors (1054436656).

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

466466000 is a wasteful number, since it uses less digits than its factorization.

466466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 466466000 is about 21597.8239644646. The cubic root of 466466000 is about 775.5443972430.

The spelling of 466466000 in words is "four hundred sixty-six million, four hundred sixty-six thousand".