434140368 has 80 divisors (see below), whose sum is σ = 1166592000. Its totient is φ = 138971520.

The previous prime is 434140297. The next prime is 434140379. The reversal of 434140368 is 863041434.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205783 + ... + 207881.

It is an arithmetic number, because the mean of its divisors is an integer number (14582400).

Almost surely, 2^434140368 is an apocalyptic number.

434140368 is a gapful number since it is divisible by the number (48) 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 434140368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583296000).

434140368 is an abundant number, since it is smaller than the sum of its proper divisors (732451632).

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

434140368 is a wasteful number, since it uses less digits than its factorization.

434140368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 434140368 is about 20836.0353234487. The cubic root of 434140368 is about 757.1990434901.

The spelling of 434140368 in words is "four hundred thirty-four million, one hundred forty thousand, three hundred sixty-eight".