434932704 has 72 divisors (see below), whose sum is σ = 1244847240. Its totient is φ = 144039168.

The previous prime is 434932703. The next prime is 434932721. The reversal of 434932704 is 407239434.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434932703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40407 + ... + 50025.

It is an arithmetic number, because the mean of its divisors is an integer number (17289545).

Almost surely, 2^434932704 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 434932704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622423620).

434932704 is an abundant number, since it is smaller than the sum of its proper divisors (809914536).

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

434932704 is a wasteful number, since it uses less digits than its factorization.

434932704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9792 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 434932704 is about 20855.0402540968. The cubic root of 434932704 is about 757.6594102963.

The spelling of 434932704 in words is "four hundred thirty-four million, nine hundred thirty-two thousand, seven hundred four".