434539120 has 80 divisors (see below), whose sum is σ = 1068503040. Its totient is φ = 163890432.

The previous prime is 434539109. The next prime is 434539141. The reversal of 434539120 is 21935434.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399217 + ... + 400303.

It is an arithmetic number, because the mean of its divisors is an integer number (13356288).

Almost surely, 2^434539120 is an apocalyptic number.

434539120 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 434539120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534251520).

434539120 is an abundant number, since it is smaller than the sum of its proper divisors (633963920).

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

434539120 is a wasteful number, since it uses less digits than its factorization.

434539120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 434539120 is about 20845.6019342210. The cubic root of 434539120 is about 757.4307982108.

The spelling of 434539120 in words is "four hundred thirty-four million, five hundred thirty-nine thousand, one hundred twenty".