434311020 has 288 divisors, whose sum is σ = 1585059840. Its totient is φ = 94855680.

The previous prime is 434310997. The next prime is 434311021. The reversal of 434311020 is 20113434.

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 = 434310984 and 434311002.

It is not an unprimeable number, because it can be changed into a prime (434311021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1209601 + ... + 1209959.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^434311020 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 434311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

434311020 is an abundant number, since it is smaller than the sum of its proper divisors (1150748820).

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

434311020 is a wasteful number, since it uses less digits than its factorization.

434311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 434311020 is about 20840.1300379820. The cubic root of 434311020 is about 757.2982438206.

Adding to 434311020 its reverse (20113434), we get a palindrome (454424454).

The spelling of 434311020 in words is "four hundred thirty-four million, three hundred eleven thousand, twenty".