434785320 has 192 divisors, whose sum is σ = 1502504640. Its totient is φ = 113011200.

The previous prime is 434785289. The next prime is 434785339. The reversal of 434785320 is 23587434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 397975 + ... + 399065.

It is an arithmetic number, because the mean of its divisors is an integer number (7825545).

Almost surely, 2^434785320 is an apocalyptic number.

434785320 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 434785320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751252320).

434785320 is an abundant number, since it is smaller than the sum of its proper divisors (1067719320).

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

434785320 is a wasteful number, since it uses less digits than its factorization.

434785320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 434785320 is about 20851.5064204004. The cubic root of 434785320 is about 757.5738189015.

The spelling of 434785320 in words is "four hundred thirty-four million, seven hundred eighty-five thousand, three hundred twenty".