434115040 has 96 divisors (see below), whose sum is σ = 1097742240. Its totient is φ = 161740800.

The previous prime is 434115029. The next prime is 434115047. The reversal of 434115040 is 40511434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434115047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184270 + ... + 186610.

It is an arithmetic number, because the mean of its divisors is an integer number (11434815).

Almost surely, 2^434115040 is an apocalyptic number.

434115040 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 434115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548871120).

434115040 is an abundant number, since it is smaller than the sum of its proper divisors (663627200).

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

434115040 is a wasteful number, since it uses less digits than its factorization.

434115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 434115040 is about 20835.4275214117. The cubic root of 434115040 is about 757.1843180605.

Adding to 434115040 its reverse (40511434), we get a palindrome (474626474).

The spelling of 434115040 in words is "four hundred thirty-four million, one hundred fifteen thousand, forty".