464440315056660 has 144 divisors (see below), whose sum is σ = 1418380624861200. Its totient is φ = 123008843704320.

The previous prime is 464440315056643. The next prime is 464440315056661. The reversal of 464440315056660 is 66650513044464.

It can be written as a sum of positive squares in 8 ways, for example, as 4117969201284 + 460322345855376 = 2029278^2 + 21455124^2 .

It is a junction number, because it is equal to n+sod(n) for n = 464440315056597 and 464440315056606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464440315056661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310177390 + ... + 311671130.

It is an arithmetic number, because the mean of its divisors is an integer number (9849865450425).

Almost surely, 2^{464440315056660} 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 464440315056660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709190312430600).

464440315056660 is an abundant number, since it is smaller than the sum of its proper divisors (953940309804540).

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

464440315056660 is a wasteful number, since it uses less digits than its factorization.

464440315056660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505498 (or 1505493 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 464440315056660 in words is "four hundred sixty-four trillion, four hundred forty billion, three hundred fifteen million, fifty-six thousand, six hundred sixty".