434226000 has 320 divisors, whose sum is σ = 1592398080. Its totient is φ = 100915200.

The previous prime is 434225983. The next prime is 434226007. The reversal of 434226000 is 622434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434226007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481854 + ... + 1482146.

It is an arithmetic number, because the mean of its divisors is an integer number (4976244).

Almost surely, 2^434226000 is an apocalyptic number.

434226000 is a gapful number since it is divisible by the number (40) 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 434226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796199040).

434226000 is an abundant number, since it is smaller than the sum of its proper divisors (1158172080).

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

434226000 is a wasteful number, since it uses less digits than its factorization.

434226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 434226000 is about 20838.0901236174. The cubic root of 434226000 is about 757.2488247825.

Adding to 434226000 its reverse (622434), we get a palindrome (434848434).

The spelling of 434226000 in words is "four hundred thirty-four million, two hundred twenty-six thousand".