434206464 has 72 divisors (see below), whose sum is σ = 1172045952. Its totient is φ = 142679040.

The previous prime is 434206463. The next prime is 434206471. The reversal of 434206464 is 464602434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434206463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50547 + ... + 58509.

It is an arithmetic number, because the mean of its divisors is an integer number (16278416).

Almost surely, 2^434206464 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 434206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586022976).

434206464 is an abundant number, since it is smaller than the sum of its proper divisors (737839488).

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

434206464 is an equidigital number, since it uses as much as digits as its factorization.

434206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053 (or 8039 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 434206464 is about 20837.6213613742. The cubic root of 434206464 is about 757.2374683039.

Adding to 434206464 its reverse (464602434), we get a palindrome (898808898).

The spelling of 434206464 in words is "four hundred thirty-four million, two hundred six thousand, four hundred sixty-four".