434913696 has 288 divisors, whose sum is σ = 1504863360. Its totient is φ = 116508672.

The previous prime is 434913649. The next prime is 434913697. The reversal of 434913696 is 696319434.

434913696 is a `hidden beast` number, since 43 + 491 + 36 + 96 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (434913697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2513866 + ... + 2514038.

It is an arithmetic number, because the mean of its divisors is an integer number (5225220).

Almost surely, 2^434913696 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 434913696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752431680).

434913696 is an abundant number, since it is smaller than the sum of its proper divisors (1069949664).

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

434913696 is a wasteful number, since it uses less digits than its factorization.

434913696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 434913696 is about 20854.5845319440. The cubic root of 434913696 is about 757.6483727268.

The spelling of 434913696 in words is "four hundred thirty-four million, nine hundred thirteen thousand, six hundred ninety-six".