450161089 has 15 divisors (see below), whose sum is σ = 526372323. Its totient is φ = 384961248.

The previous prime is 450161077. The next prime is 450161119. The reversal of 450161089 is 980161054.

The square root of 450161089 is 21217.

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

It can be written as a sum of positive squares in only one way, i.e., 50481025 + 399680064 = 7105^2 + 19992^2 .

It is not a de Polignac number, because 450161089 - 2⁷ = 450160961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450161059) 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, 1039417 + ... + 1039849.

Almost surely, 2^450161089 is an apocalyptic number.

450161089 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

450161089 is the 21217-th square number.

450161089 is the 10609-th centered octagonal number.

It is an amenable number.

450161089 is a deficient number, since it is larger than the sum of its proper divisors (76211234).

450161089 is an frugal number, since it uses more digits than its factorization.

450161089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The cubic root of 450161089 is about 766.4008614996.

The spelling of 450161089 in words is "four hundred fifty million, one hundred sixty-one thousand, eighty-nine".