434320020 has 144 divisors (see below), whose sum is σ = 1347458112. Its totient is φ = 113218560.

The previous prime is 434320009. The next prime is 434320027. The reversal of 434320020 is 20023434.

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 = 434319975 and 434320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434320027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2664459 + ... + 2664621.

It is an arithmetic number, because the mean of its divisors is an integer number (9357348).

Almost surely, 2^434320020 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 434320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673729056).

434320020 is an abundant number, since it is smaller than the sum of its proper divisors (913138092).

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

434320020 is a wasteful number, since it uses less digits than its factorization.

434320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 434320020 is about 20840.3459664181. The cubic root of 434320020 is about 757.3034748162.

Adding to 434320020 its reverse (20023434), we get a palindrome (454343454).

The spelling of 434320020 in words is "four hundred thirty-four million, three hundred twenty thousand, twenty".