466036000 has 96 divisors (see below), whose sum is σ = 1151998848. Its totient is φ = 185286400.

The previous prime is 466035949. The next prime is 466036001. The reversal of 466036000 is 630664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (466036001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1051779 + ... + 1052221.

It is an arithmetic number, because the mean of its divisors is an integer number (11999988).

Almost surely, 2^466036000 is an apocalyptic number.

466036000 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 466036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575999424).

466036000 is an abundant number, since it is smaller than the sum of its proper divisors (685962848).

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

466036000 is a wasteful number, since it uses less digits than its factorization.

466036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 466036000 is about 21587.8669627177. The cubic root of 466036000 is about 775.3060185869.

Adding to 466036000 its reverse (630664), we get a palindrome (466666664).

The spelling of 466036000 in words is "four hundred sixty-six million, thirty-six thousand".