466633000 has 64 divisors (see below), whose sum is σ = 1156194000. Its totient is φ = 175667200.

The previous prime is 466632973. The next prime is 466633001. The reversal of 466633000 is 336664.

It can be written as a sum of positive squares in 8 ways, for example, as 91126116 + 375506884 = 9546^2 + 19378^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 466633000.

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 15 ways as a sum of consecutive naturals, for example, 3276 + ... + 30724.

Almost surely, 2^466633000 is an apocalyptic number.

466633000 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 466633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578097000).

466633000 is an abundant number, since it is smaller than the sum of its proper divisors (689561000).

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

466633000 is a wasteful number, since it uses less digits than its factorization.

466633000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27487 (or 27473 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 466633000 is about 21601.6897487210. The cubic root of 466633000 is about 775.6369373648.

Adding to 466633000 its reverse (336664), we get a palindrome (466969664).

The spelling of 466633000 in words is "four hundred sixty-six million, six hundred thirty-three thousand".