434723328 has 320 divisors, whose sum is σ = 1443657600. Its totient is φ = 128286720.

The previous prime is 434723321. The next prime is 434723347. The reversal of 434723328 is 823327434.

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

It is a junction number, because it is equal to n+sod(n) for n = 434723292 and 434723301.

It is not an unprimeable number, because it can be changed into a prime (434723321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7368163 + ... + 7368221.

It is an arithmetic number, because the mean of its divisors is an integer number (4511430).

Almost surely, 2^434723328 is an apocalyptic number.

434723328 is a gapful number since it is divisible by the number (48) 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 434723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721828800).

434723328 is an abundant number, since it is smaller than the sum of its proper divisors (1008934272).

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

434723328 is a wasteful number, since it uses less digits than its factorization.

434723328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 434723328 is about 20850.0198561057. The cubic root of 434723328 is about 757.5378120523.

The spelling of 434723328 in words is "four hundred thirty-four million, seven hundred twenty-three thousand, three hundred twenty-eight".