434230272 has 264 divisors, whose sum is σ = 1471481856. Its totient is φ = 120766464.

The previous prime is 434230267. The next prime is 434230273. The reversal of 434230272 is 272032434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434230273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3419073 + ... + 3419199.

Almost surely, 2^434230272 is an apocalyptic number.

434230272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735740928).

434230272 is an abundant number, since it is smaller than the sum of its proper divisors (1037251584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434230272 is a wasteful number, since it uses less digits than its factorization.

434230272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 434230272 is about 20838.1926279608. The cubic root of 434230272 is about 757.2513080949.

The spelling of 434230272 in words is "four hundred thirty-four million, two hundred thirty thousand, two hundred seventy-two".