434503680 has 288 divisors, whose sum is σ = 1585440864. Its totient is φ = 100663296.

The previous prime is 434503669. The next prime is 434503709. The reversal of 434503680 is 86305434.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25559032 + ... + 25559048.

It is an arithmetic number, because the mean of its divisors is an integer number (5505003).

Almost surely, 2^434503680 is an apocalyptic number.

434503680 is a gapful number since it is divisible by the number (40) 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 434503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792720432).

434503680 is an abundant number, since it is smaller than the sum of its proper divisors (1150937184).

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

434503680 is an equidigital number, since it uses as much as digits as its factorization.

434503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 434503680 is about 20844.7518574820. The cubic root of 434503680 is about 757.4102062196.

The spelling of 434503680 in words is "four hundred thirty-four million, five hundred three thousand, six hundred eighty".