434001024 has 256 divisors, whose sum is σ = 1388016000. Its totient is φ = 133005312.

The previous prime is 434001019. The next prime is 434001077. The reversal of 434001024 is 420100434.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 434000988 and 434001006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4876372 + ... + 4876460.

Almost surely, 2^434001024 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 434001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694008000).

434001024 is an abundant number, since it is smaller than the sum of its proper divisors (954014976).

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

434001024 is a wasteful number, since it uses less digits than its factorization.

434001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 434001024 is about 20832.6912327716. The cubic root of 434001024 is about 757.1180232781.

Adding to 434001024 its reverse (420100434), we get a palindrome (854101458).

The spelling of 434001024 in words is "four hundred thirty-four million, one thousand, twenty-four".