434563360 has 144 divisors (see below), whose sum is σ = 1303102080. Its totient is φ = 135421440.

The previous prime is 434563343. The next prime is 434563369. The reversal of 434563360 is 63365434.

It is not an unprimeable number, because it can be changed into a prime (434563369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83721 + ... + 88759.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 2^434563360 is an apocalyptic number.

434563360 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 434563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651551040).

434563360 is an abundant number, since it is smaller than the sum of its proper divisors (868538720).

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

434563360 is a wasteful number, since it uses less digits than its factorization.

434563360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

The square root of 434563360 is about 20846.1833437203. The cubic root of 434563360 is about 757.4448819303. Note that the first 3 decimals are identical.

The spelling of 434563360 in words is "four hundred thirty-four million, five hundred sixty-three thousand, three hundred sixty".