464560838569 has 27 divisors (see below), whose sum is σ = 508198944357. Its totient is φ = 424590532128.

The previous prime is 464560838507. The next prime is 464560838579. The reversal of 464560838569 is 965838065464.

The square root of 464560838569 is 681587.

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 38559213225 + 426001625344 = 196365^2 + 652688^2 .

It is not a de Polignac number, because 464560838569 - 2²¹ = 464558741417 is a prime.

It is a super-2 number, since 2×464560838569² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 464560838569.

It is not an unprimeable number, because it can be changed into a prime (464560838579) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 375553819 + ... + 375555055.

Almost surely, 2^464560838569 is an apocalyptic number.

464560838569 is the 681587-th square number.

464560838569 is the 340794-th centered octagonal number.

It is an amenable number.

464560838569 is a deficient number, since it is larger than the sum of its proper divisors (43638105788).

464560838569 is an frugal number, since it uses more digits than its factorization.

464560838569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 64.

Multiplying 464560838569 by its sum of digits (64), we get a square (29731893668416 = 5452696²).

The spelling of 464560838569 in words is "four hundred sixty-four billion, five hundred sixty million, eight hundred thirty-eight thousand, five hundred sixty-nine".