434983778089 has 9 divisors (see below), whose sum is σ = 506006908317. Its totient is φ = 372839281164.

The previous prime is 434983778063. The next prime is 434983778107. The reversal of 434983778089 is 980877389434.

The square root of 434983778089 is 659533.

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

It is not a de Polignac number, because 434983778089 - 2⁵ = 434983778057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434983778689) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4569622 + ... + 4663840.

It is an arithmetic number, because the mean of its divisors is an integer number (56222989813).

Almost surely, 2^434983778089 is an apocalyptic number.

434983778089 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

434983778089 is the 659533-rd square number.

434983778089 is the 329767-th centered octagonal number.

It is an amenable number.

434983778089 is a deficient number, since it is larger than the sum of its proper divisors (71023130228).

434983778089 is an frugal number, since it uses more digits than its factorization.

434983778089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188452 (or 94226 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 70.

The spelling of 434983778089 in words is "four hundred thirty-four billion, nine hundred eighty-three million, seven hundred seventy-eight thousand, eighty-nine".