434123020 has 96 divisors (see below), whose sum is σ = 993484800. Its totient is φ = 158817024.

The previous prime is 434123009. The next prime is 434123023. The reversal of 434123020 is 20321434.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (434123023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1946629 + ... + 1946851.

It is an arithmetic number, because the mean of its divisors is an integer number (10348800).

Almost surely, 2^434123020 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 434123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496742400).

434123020 is an abundant number, since it is smaller than the sum of its proper divisors (559361780).

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

434123020 is a wasteful number, since it uses less digits than its factorization.

434123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 434123020 is about 20835.6190212818. The cubic root of 434123020 is about 757.1889576094.

Adding to 434123020 its reverse (20321434), we get a palindrome (454444454).

The spelling of 434123020 in words is "four hundred thirty-four million, one hundred twenty-three thousand, twenty".