434243440 has 80 divisors (see below), whose sum is σ = 1028434176. Its totient is φ = 170496000.

The previous prime is 434243431. The next prime is 434243441. The reversal of 434243440 is 44342434.

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

It is a junction number, because it is equal to n+sod(n) for n = 434243399 and 434243408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434243441) by changing a digit.

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, 1801720 + ... + 1801960.

Almost surely, 2^434243440 is an apocalyptic number.

434243440 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 434243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514217088).

434243440 is an abundant number, since it is smaller than the sum of its proper divisors (594190736).

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

434243440 is a wasteful number, since it uses less digits than its factorization.

434243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 434243440 is about 20838.5085838694. The cubic root of 434243440 is about 757.2589625470.

Adding to 434243440 its reverse (44342434), we get a palindrome (478585874).

It can be divided in two parts, 43424 and 3440, that added together give a palindrome (46864).

The spelling of 434243440 in words is "four hundred thirty-four million, two hundred forty-three thousand, four hundred forty".