434481984 has 84 divisors (see below), whose sum is σ = 1262546116. Its totient is φ = 142829568.

The previous prime is 434481977. The next prime is 434481997. The reversal of 434481984 is 489184434.

It can be written as a sum of positive squares in 2 ways, for example, as 284664384 + 149817600 = 16872^2 + 12240^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36882 + ... + 47214.

Almost surely, 2^434481984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631273058).

434481984 is an abundant number, since it is smaller than the sum of its proper divisors (828064132).

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

434481984 is a wasteful number, since it uses less digits than its factorization.

434481984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10424 (or 10411 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 434481984 is about 20844.2314322212. The cubic root of 434481984 is about 757.3975994638.

The spelling of 434481984 in words is "four hundred thirty-four million, four hundred eighty-one thousand, nine hundred eighty-four".