464661136 has 45 divisors (see below), whose sum is σ = 959380219. Its totient is φ = 217974272.

The previous prime is 464661121. The next prime is 464661143. The reversal of 464661136 is 631166464.

The square root of 464661136 is 21556.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28686736 + 435974400 = 5356^2 + 20880^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 464661095 and 464661104.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1465650 + ... + 1465966.

Almost surely, 2^464661136 is an apocalyptic number.

464661136 is the 21556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464661136

464661136 is an abundant number, since it is smaller than the sum of its proper divisors (494719083).

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

464661136 is an equidigital number, since it uses as much as digits as its factorization.

464661136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 336 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The cubic root of 464661136 is about 774.5428513108.

The spelling of 464661136 in words is "four hundred sixty-four million, six hundred sixty-one thousand, one hundred thirty-six".