466488000 has 672 divisors, whose sum is σ = 1978030080. Its totient is φ = 103680000.

The previous prime is 466487999. The next prime is 466488023. The reversal of 466488000 is 884664.

466488000 is a `hidden beast` number, since 4 + 6 + 648 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×466488000² = 435222108288000000, which contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 15047985 + ... + 15048015.

Almost surely, 2^466488000 is an apocalyptic number.

466488000 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 466488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989015040).

466488000 is an abundant number, since it is smaller than the sum of its proper divisors (1511542080).

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

466488000 is a wasteful number, since it uses less digits than its factorization.

466488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 466488000 is about 21598.3332690280. Note that the first 3 decimals coincide. The cubic root of 466488000 is about 775.5565894203.

The spelling of 466488000 in words is "four hundred sixty-six million, four hundred eighty-eight thousand".