434085120 has 324 divisors, whose sum is σ = 1749367620. Its totient is φ = 99090432.

The previous prime is 434085109. The next prime is 434085143. The reversal of 434085120 is 21580434.

It can be written as a sum of positive squares in 2 ways, for example, as 163021824 + 271063296 = 12768^2 + 16464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564096 + ... + 564864.

Almost surely, 2^434085120 is an apocalyptic number.

434085120 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 434085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874683810).

434085120 is an abundant number, since it is smaller than the sum of its proper divisors (1315282500).

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

434085120 is a wasteful number, since it uses less digits than its factorization.

434085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 434085120 is about 20834.7095012146. The cubic root of 434085120 is about 757.1669221529.

The spelling of 434085120 in words is "four hundred thirty-four million, eighty-five thousand, one hundred twenty".