10407468289 has 15 divisors (see below), whose sum is σ = 11089341583. Its totient is φ = 9767515648.

The previous prime is 10407468277. The next prime is 10407468317. The reversal of 10407468289 is 98286470401.

It is a happy number.

The square root of 10407468289 is 102017.

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

It can be written as a sum of positive squares in 7 ways, for example, as 844193025 + 9563275264 = 29055^2 + 97792^2 .

It is not a de Polignac number, because 10407468289 - 2¹⁷ = 10407337217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10407468229) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29482737 + ... + 29483089.

Almost surely, 2^10407468289 is an apocalyptic number.

10407468289 is the 102017-th square number.

10407468289 is the 51009-th centered octagonal number.

It is an amenable number.

10407468289 is a deficient number, since it is larger than the sum of its proper divisors (681873294).

10407468289 is an frugal number, since it uses more digits than its factorization.

10407468289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 10407468289 by its sum of digits (49), we get a square (509965946161 = 714119²).

The spelling of 10407468289 in words is "ten billion, four hundred seven million, four hundred sixty-eight thousand, two hundred eighty-nine".