434213000 has 128 divisors (see below), whose sum is σ = 1107025920. Its totient is φ = 158457600.

The previous prime is 434212991. The next prime is 434213029. The reversal of 434213000 is 312434.

It is a self number, because there is not a number n which added to its sum of digits gives 434213000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1650869 + ... + 1651131.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2^434213000 is an apocalyptic number.

434213000 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 434213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553512960).

434213000 is an abundant number, since it is smaller than the sum of its proper divisors (672812920).

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

434213000 is a wasteful number, since it uses less digits than its factorization.

434213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 434213000 is about 20837.7781925041. The cubic root of 434213000 is about 757.2412677861.

Adding to 434213000 its reverse (312434), we get a palindrome (434525434).

The spelling of 434213000 in words is "four hundred thirty-four million, two hundred thirteen thousand".