435598641 has 21 divisors (see below), whose sum is σ = 653945179. Its totient is φ = 290023416.

The previous prime is 435598619. The next prime is 435598661. The reversal of 435598641 is 146895534.

The square root of 435598641 is 20871.

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., 27720225 + 407878416 = 5265^2 + 20196^2 .

It is not a de Polignac number, because 435598641 - 2²³ = 427210033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (435598661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 563131 + ... + 563903.

Almost surely, 2^435598641 is an apocalyptic number.

435598641 is the 20871-st square number.

435598641 is the 10436-th centered octagonal number.

It is an amenable number.

435598641 is a deficient number, since it is larger than the sum of its proper divisors (218346538).

435598641 is an frugal number, since it uses more digits than its factorization.

435598641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 776 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The cubic root of 435598641 is about 758.0459039133.

Multiplying 435598641 by its product of digits (518400), we get a square (225814335494400 = 15027120²).

It can be divided in two parts, 435 and 598641, that added together give a square (599076 = 774²).

The spelling of 435598641 in words is "four hundred thirty-five million, five hundred ninety-eight thousand, six hundred forty-one".