466633008 has 160 divisors (see below), whose sum is σ = 1423520000. Its totient is φ = 145939968.

The previous prime is 466633007. The next prime is 466633019. The reversal of 466633008 is 800336664.

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

It is not an unprimeable number, because it can be changed into a prime (466633001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140708 + ... + 1141116.

It is an arithmetic number, because the mean of its divisors is an integer number (8897000).

Almost surely, 2^466633008 is an apocalyptic number.

466633008 is a gapful number since it is divisible by the number (48) 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 466633008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711760000).

466633008 is an abundant number, since it is smaller than the sum of its proper divisors (956886992).

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

466633008 is a wasteful number, since it uses less digits than its factorization.

466633008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 466633008 is about 21601.6899338917. The cubic root of 466633008 is about 775.6369417973.

The spelling of 466633008 in words is "four hundred sixty-six million, six hundred thirty-three thousand, eight".