434660920 has 64 divisors (see below), whose sum is σ = 1016064000. Its totient is φ = 167168640.

The previous prime is 434660917. The next prime is 434660953. The reversal of 434660920 is 29066434.

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, 206031 + ... + 208129.

It is an arithmetic number, because the mean of its divisors is an integer number (15876000).

Almost surely, 2^434660920 is an apocalyptic number.

434660920 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 434660920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032000).

434660920 is an abundant number, since it is smaller than the sum of its proper divisors (581403080).

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

434660920 is a wasteful number, since it uses less digits than its factorization.

434660920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 434660920 is about 20848.5232090909. The cubic root of 434660920 is about 757.5015601198.

The spelling of 434660920 in words is "four hundred thirty-four million, six hundred sixty thousand, nine hundred twenty".