434109520 has 80 divisors (see below), whose sum is σ = 1091930112. Its totient is φ = 159552000.

The previous prime is 434109509. The next prime is 434109539. The reversal of 434109520 is 25901434.

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, 260209 + ... + 261871.

Almost surely, 2^434109520 is an apocalyptic number.

434109520 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 434109520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545965056).

434109520 is an abundant number, since it is smaller than the sum of its proper divisors (657820592).

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

434109520 is a wasteful number, since it uses less digits than its factorization.

434109520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 434109520 is about 20835.2950543063. The cubic root of 434109520 is about 757.1811087152.

The spelling of 434109520 in words is "four hundred thirty-four million, one hundred nine thousand, five hundred twenty".