434709120 has 128 divisors (see below), whose sum is σ = 1391639040. Its totient is φ = 115421184.

The previous prime is 434709103. The next prime is 434709133. The reversal of 434709120 is 21907434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×434709120² = 377944038022348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715857 + ... + 716463.

It is an arithmetic number, because the mean of its divisors is an integer number (10872180).

Almost surely, 2^434709120 is an apocalyptic number.

434709120 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 434709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695819520).

434709120 is an abundant number, since it is smaller than the sum of its proper divisors (956929920).

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

434709120 is a wasteful number, since it uses less digits than its factorization.

434709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 434709120 is about 20849.6791342217. The cubic root of 434709120 is about 757.5295591293.

The spelling of 434709120 in words is "four hundred thirty-four million, seven hundred nine thousand, one hundred twenty".