434597409 has 9 divisors (see below), whose sum is σ = 627842163. Its totient is φ = 289689912.

The previous prime is 434597399. The next prime is 434597437. The reversal of 434597409 is 904795434.

It is a happy number.

The square root of 434597409 is 20847.

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., 380133009 + 54464400 = 19497^2 + 7380^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 434597409 - 2⁷ = 434597281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434593409) 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, 59067 + ... + 66015.

Almost surely, 2^434597409 is an apocalyptic number.

434597409 is the 20847-th square number.

434597409 is the 10424-th centered octagonal number.

It is an amenable number.

434597409 is a deficient number, since it is larger than the sum of its proper divisors (193244754).

434597409 is an frugal number, since it uses more digits than its factorization.

434597409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13904 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The cubic root of 434597409 is about 757.4646639073.

The spelling of 434597409 in words is "four hundred thirty-four million, five hundred ninety-seven thousand, four hundred nine".