434270320 has 80 divisors (see below), whose sum is σ = 1137070080. Its totient is φ = 152812800.

The previous prime is 434270311. The next prime is 434270323. The reversal of 434270320 is 23072434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434270323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19321 + ... + 35239.

It is an arithmetic number, because the mean of its divisors is an integer number (14213376).

Almost surely, 2^434270320 is an apocalyptic number.

434270320 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 434270320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568535040).

434270320 is an abundant number, since it is smaller than the sum of its proper divisors (702799760).

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

434270320 is a wasteful number, since it uses less digits than its factorization.

434270320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15974 (or 15968 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 434270320 is about 20839.1535336731. The cubic root of 434270320 is about 757.2745871936.

The spelling of 434270320 in words is "four hundred thirty-four million, two hundred seventy thousand, three hundred twenty".