434130000 has 200 divisors, whose sum is σ = 1452660000. Its totient is φ = 111552000.

The previous prime is 434129989. The next prime is 434130013. The reversal of 434130000 is 31434.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 869751 + ... + 870249.

It is an arithmetic number, because the mean of its divisors is an integer number (7263300).

Almost surely, 2^434130000 is an apocalyptic number.

434130000 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 434130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726330000).

434130000 is an abundant number, since it is smaller than the sum of its proper divisors (1018530000).

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

434130000 is a wasteful number, since it uses less digits than its factorization.

434130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 434130000 is about 20835.7865222314. The cubic root of 434130000 is about 757.1930157145.

Adding to 434130000 its reverse (31434), we get a palindrome (434161434).

The spelling of 434130000 in words is "four hundred thirty-four million, one hundred thirty thousand".