434338848 has 120 divisors (see below), whose sum is σ = 1352655612. Its totient is φ = 136249344.

The previous prime is 434338847. The next prime is 434338901. The reversal of 434338848 is 848833434.

It can be written as a sum of positive squares in 2 ways, for example, as 431475984 + 2862864 = 20772^2 + 1692^2 .

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

It is not an unprimeable number, because it can be changed into a prime (434338843) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39136 + ... + 48992.

Almost surely, 2^434338848 is an apocalyptic number.

434338848 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 434338848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676327806).

434338848 is an abundant number, since it is smaller than the sum of its proper divisors (918316764).

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

434338848 is a wasteful number, since it uses less digits than its factorization.

434338848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9896 (or 9879 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 434338848 is about 20840.7976814708. The cubic root of 434338848 is about 757.3144178253.

The spelling of 434338848 in words is "four hundred thirty-four million, three hundred thirty-eight thousand, eight hundred forty-eight".