466648000 has 224 divisors, whose sum is σ = 1424562048. Its totient is φ = 147456000.

The previous prime is 466647983. The next prime is 466648003. The reversal of 466648000 is 846664.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466648003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727680 + ... + 728320.

It is an arithmetic number, because the mean of its divisors is an integer number (6359652).

Almost surely, 2^466648000 is an apocalyptic number.

466648000 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 466648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712281024).

466648000 is an abundant number, since it is smaller than the sum of its proper divisors (957914048).

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

466648000 is a wasteful number, since it uses less digits than its factorization.

466648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 466648000 is about 21602.0369409924. The cubic root of 466648000 is about 775.6452482711.

The spelling of 466648000 in words is "four hundred sixty-six million, six hundred forty-eight thousand".