434120032 has 96 divisors (see below), whose sum is σ = 940584960. Its totient is φ = 196584960.

The previous prime is 434120023. The next prime is 434120033. The reversal of 434120032 is 230021434.

It is a junction number, because it is equal to n+sod(n) for n = 434119991 and 434120009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434120033) 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, 1209069 + ... + 1209427.

It is an arithmetic number, because the mean of its divisors is an integer number (9797760).

Almost surely, 2^434120032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470292480).

434120032 is an abundant number, since it is smaller than the sum of its proper divisors (506464928).

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

434120032 is a wasteful number, since it uses less digits than its factorization.

434120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 434120032 is about 20835.5473170253. The cubic root of 434120032 is about 757.1872204015.

Adding to 434120032 its reverse (230021434), we get a palindrome (664141466).

The spelling of 434120032 in words is "four hundred thirty-four million, one hundred twenty thousand, thirty-two".