434263921 has 27 divisors (see below), whose sum is σ = 549411201. Its totient is φ = 342093024.

The previous prime is 434263877. The next prime is 434263967. The reversal of 434263921 is 129362434.

It is a happy number.

The square root of 434263921 is 20839.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7263025 + 427000896 = 2695^2 + 20664^2 .

It is not a de Polignac number, because 434263921 - 2²⁵ = 400709489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434263121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1896235 + ... + 1896463.

It is an arithmetic number, because the mean of its divisors is an integer number (20348563).

Almost surely, 2^434263921 is an apocalyptic number.

434263921 is the 20839-th square number.

434263921 is the 10420-th centered octagonal number.

It is an amenable number.

434263921 is a deficient number, since it is larger than the sum of its proper divisors (115147280).

434263921 is an equidigital number, since it uses as much as digits as its factorization.

434263921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 249 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The cubic root of 434263921 is about 757.2708676794.

The spelling of 434263921 in words is "four hundred thirty-four million, two hundred sixty-three thousand, nine hundred twenty-one".