466145536 has 72 divisors (see below), whose sum is σ = 989152920. Its totient is φ = 218824704.

The previous prime is 466145503. The next prime is 466145539. The reversal of 466145536 is 635541664.

It can be written as a sum of positive squares in 4 ways, for example, as 298598400 + 167547136 = 17280^2 + 12944^2 .

It is not an unprimeable number, because it can be changed into a prime (466145539) 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 7 ways as a sum of consecutive naturals, for example, 273840 + ... + 275536.

It is an arithmetic number, because the mean of its divisors is an integer number (13738235).

Almost surely, 2^466145536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494576460).

466145536 is an abundant number, since it is smaller than the sum of its proper divisors (523007384).

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

466145536 is a wasteful number, since it uses less digits than its factorization.

466145536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1765 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The square root of 466145536 is about 21590.4037942786. The cubic root of 466145536 is about 775.3667558600.

The spelling of 466145536 in words is "four hundred sixty-six million, one hundred forty-five thousand, five hundred thirty-six".