466449984 has 336 divisors, whose sum is σ = 1797344640. Its totient is φ = 111697920.

The previous prime is 466449953. The next prime is 466450001. The reversal of 466449984 is 489944664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 466449984.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576172 + ... + 576980.

It is an arithmetic number, because the mean of its divisors is an integer number (5349240).

Almost surely, 2^466449984 is an apocalyptic number.

466449984 is a gapful number since it is divisible by the number (44) 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 466449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898672320).

466449984 is an abundant number, since it is smaller than the sum of its proper divisors (1330894656).

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

466449984 is a wasteful number, since it uses less digits than its factorization.

466449984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 845 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 466449984 is about 21597.4531831881. The cubic root of 466449984 is about 775.5355210968.

The spelling of 466449984 in words is "four hundred sixty-six million, four hundred forty-nine thousand, nine hundred eighty-four".