434041000 has 64 divisors (see below), whose sum is σ = 1020436560. Its totient is φ = 172800000.

The previous prime is 434040989. The next prime is 434041001. The reversal of 434041000 is 140434.

It can be written as a sum of positive squares in 8 ways, for example, as 4639716 + 429401284 = 2154^2 + 20722^2 .

It is not an unprimeable number, because it can be changed into a prime (434041001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240100 + ... + 241900.

Almost surely, 2^434041000 is an apocalyptic number.

434041000 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 434041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510218280).

434041000 is an abundant number, since it is smaller than the sum of its proper divisors (586395560).

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

434041000 is a wasteful number, since it uses less digits than its factorization.

434041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 434041000 is about 20833.6506642499. The cubic root of 434041000 is about 757.1412687078.

Adding to 434041000 its reverse (140434), we get a palindrome (434181434).

The spelling of 434041000 in words is "four hundred thirty-four million, forty-one thousand".