434401000 has 256 divisors, whose sum is σ = 1237317120. Its totient is φ = 140800000.

The previous prime is 434400929. The next prime is 434401043. The reversal of 434401000 is 104434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4300950 + ... + 4301050.

It is an arithmetic number, because the mean of its divisors is an integer number (4833270).

Almost surely, 2^434401000 is an apocalyptic number.

434401000 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 434401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618658560).

434401000 is an abundant number, since it is smaller than the sum of its proper divisors (802916120).

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

434401000 is a wasteful number, since it uses less digits than its factorization.

434401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

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

The square root of 434401000 is about 20842.2887418825. The cubic root of 434401000 is about 757.3505389022.

Adding to 434401000 its reverse (104434), we get a palindrome (434505434).

The spelling of 434401000 in words is "four hundred thirty-four million, four hundred one thousand".