434104000 has 112 divisors (see below), whose sum is σ = 1173028896. Its totient is φ = 157824000.

The previous prime is 434103991. The next prime is 434104007. The reversal of 434104000 is 401434.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (434104007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85534 + ... + 90466.

Almost surely, 2^434104000 is an apocalyptic number.

434104000 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 434104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586514448).

434104000 is an abundant number, since it is smaller than the sum of its proper divisors (738924896).

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

434104000 is a wasteful number, since it uses less digits than its factorization.

434104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4951 counting only the distinct ones).

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

The square root of 434104000 is about 20835.1625863587. The cubic root of 434104000 is about 757.1778993427.

Adding to 434104000 its reverse (401434), we get a palindrome (434505434).

The spelling of 434104000 in words is "four hundred thirty-four million, one hundred four thousand".