434441000 has 128 divisors (see below), whose sum is σ = 1184751360. Its totient is φ = 146016000.

The previous prime is 434440991. The next prime is 434441003. The reversal of 434441000 is 144434.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (434441003) 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 31 ways as a sum of consecutive naturals, for example, 370415 + ... + 371585.

It is an arithmetic number, because the mean of its divisors is an integer number (9255870).

Almost surely, 2^434441000 is an apocalyptic number.

434441000 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 434441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592375680).

434441000 is an abundant number, since it is smaller than the sum of its proper divisors (750310360).

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

434441000 is a wasteful number, since it uses less digits than its factorization.

434441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 434441000 is about 20843.2483073057. The cubic root of 434441000 is about 757.3737840081.

Adding to 434441000 its reverse (144434), we get a palindrome (434585434).

It can be divided in two parts, 43444 and 1000, that added together give a palindrome (44444).

The spelling of 434441000 in words is "four hundred thirty-four million, four hundred forty-one thousand".