434111440 has 80 divisors (see below), whose sum is σ = 1193316480. Its totient is φ = 143700480.

The previous prime is 434111423. The next prime is 434111459. The reversal of 434111440 is 44111434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 2875 + ... + 29605.

It is an arithmetic number, because the mean of its divisors is an integer number (14916456).

Almost surely, 2^434111440 is an apocalyptic number.

434111440 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 434111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596658240).

434111440 is an abundant number, since it is smaller than the sum of its proper divisors (759205040).

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

434111440 is a wasteful number, since it uses less digits than its factorization.

434111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26780 (or 26774 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 434111440 is about 20835.3411299167. The cubic root of 434111440 is about 757.1822250123.

Adding to 434111440 its reverse (44111434), we get a palindrome (478222874).

The spelling of 434111440 in words is "four hundred thirty-four million, one hundred eleven thousand, four hundred forty".