434409696 has 288 divisors, whose sum is σ = 1526031360. Its totient is φ = 119750400.

The previous prime is 434409667. The next prime is 434409713. The reversal of 434409696 is 696904434.

It is a happy number.

434409696 is a `hidden beast` number, since 434 + 40 + 96 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312251 + ... + 1312581.

It is an arithmetic number, because the mean of its divisors is an integer number (5298720).

Almost surely, 2^434409696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434409696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763015680).

434409696 is an abundant number, since it is smaller than the sum of its proper divisors (1091621664).

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

434409696 is a wasteful number, since it uses less digits than its factorization.

434409696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 434409696 is about 20842.4973551636. The cubic root of 434409696 is about 757.3555925096.

The spelling of 434409696 in words is "four hundred thirty-four million, four hundred nine thousand, six hundred ninety-six".