434680120 has 128 divisors (see below), whose sum is σ = 1160755200. Its totient is φ = 143410176.

The previous prime is 434680097. The next prime is 434680177. The reversal of 434680120 is 21086434.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 950932 + ... + 951388.

It is an arithmetic number, because the mean of its divisors is an integer number (9068400).

Almost surely, 2^434680120 is an apocalyptic number.

434680120 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 434680120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580377600).

434680120 is an abundant number, since it is smaller than the sum of its proper divisors (726075080).

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

434680120 is a wasteful number, since it uses less digits than its factorization.

434680120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 434680120 is about 20848.9836682751. The cubic root of 434680120 is about 757.5127135002.

The spelling of 434680120 in words is "four hundred thirty-four million, six hundred eighty thousand, one hundred twenty".