434780000 has 60 divisors (see below), whose sum is σ = 1069673220. Its totient is φ = 173904000.

The previous prime is 434779997. The next prime is 434780039. The reversal of 434780000 is 87434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9131 + ... + 30869.

It is an arithmetic number, because the mean of its divisors is an integer number (17827887).

Almost surely, 2^434780000 is an apocalyptic number.

434780000 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 434780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534836610).

434780000 is an abundant number, since it is smaller than the sum of its proper divisors (634893220).

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

434780000 is an equidigital number, since it uses as much as digits as its factorization.

434780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21769 (or 21746 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 434780000 is about 20851.3788512894. The cubic root of 434780000 is about 757.5707290171.

The spelling of 434780000 in words is "four hundred thirty-four million, seven hundred eighty thousand".