434489328 has 240 divisors, whose sum is σ = 1520902656. Its totient is φ = 112734720.

The previous prime is 434489323. The next prime is 434489347. The reversal of 434489328 is 823984434.

It is a super-2 number, since 2×434489328² = 377561952291783168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434489323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930151 + ... + 930617.

Almost surely, 2^434489328 is an apocalyptic number.

434489328 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 434489328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760451328).

434489328 is an abundant number, since it is smaller than the sum of its proper divisors (1086413328).

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

434489328 is a wasteful number, since it uses less digits than its factorization.

434489328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 434489328 is about 20844.4075953240. The cubic root of 434489328 is about 757.4018668418.

The spelling of 434489328 in words is "four hundred thirty-four million, four hundred eighty-nine thousand, three hundred twenty-eight".