434540000 has 60 divisors (see below), whose sum is σ = 1069082784. Its totient is φ = 173808000.

The previous prime is 434539999. The next prime is 434540003. The reversal of 434540000 is 45434.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434540003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9137 + ... + 30863.

Almost surely, 2^434540000 is an apocalyptic number.

434540000 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 434540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534541392).

434540000 is an abundant number, since it is smaller than the sum of its proper divisors (634542784).

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

434540000 is an equidigital number, since it uses as much as digits as its factorization.

434540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21757 (or 21734 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 434540000 is about 20845.6230417803. The cubic root of 434540000 is about 757.4313095101.

Adding to 434540000 its reverse (45434), we get a palindrome (434585434).

The spelling of 434540000 in words is "four hundred thirty-four million, five hundred forty thousand".