434945456 has 80 divisors (see below), whose sum is σ = 967438080. Its totient is φ = 187503360.

The previous prime is 434945449. The next prime is 434945521. The reversal of 434945456 is 654549434.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562286 + ... + 563058.

It is an arithmetic number, because the mean of its divisors is an integer number (12092976).

Almost surely, 2^434945456 is an apocalyptic number.

434945456 is a gapful number since it is divisible by the number (46) 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 434945456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483719040).

434945456 is an abundant number, since it is smaller than the sum of its proper divisors (532492624).

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

434945456 is a wasteful number, since it uses less digits than its factorization.

434945456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 948 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 44.

The square root of 434945456 is about 20855.3459813066. The cubic root of 434945456 is about 757.6668149502. Note that the first 3 decimals are identical.

The spelling of 434945456 in words is "four hundred thirty-four million, nine hundred forty-five thousand, four hundred fifty-six".