434951328 has 96 divisors (see below), whose sum is σ = 1347010560. Its totient is φ = 120257280.

The previous prime is 434951303. The next prime is 434951353. The reversal of 434951328 is 823159434.

It is an interprime number because it is at equal distance from previous prime (434951303) and next prime (434951353).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10393 + ... + 31271.

It is an arithmetic number, because the mean of its divisors is an integer number (14031360).

Almost surely, 2^434951328 is an apocalyptic number.

434951328 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 434951328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673505280).

434951328 is an abundant number, since it is smaller than the sum of its proper divisors (912059232).

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

434951328 is a wasteful number, since it uses less digits than its factorization.

434951328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20930 (or 20922 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 434951328 is about 20855.4867600831. The cubic root of 434951328 is about 757.6702245727.

The spelling of 434951328 in words is "four hundred thirty-four million, nine hundred fifty-one thousand, three hundred twenty-eight".