434431020 has 96 divisors (see below), whose sum is σ = 1279293120. Its totient is φ = 109992960.

The previous prime is 434431007. The next prime is 434431043. The reversal of 434431020 is 20134434.

It is a super-2 number, since 2×434431020² = 377460622276480800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104094 + ... + 108186.

It is an arithmetic number, because the mean of its divisors is an integer number (13325970).

Almost surely, 2^434431020 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 434431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639646560).

434431020 is an abundant number, since it is smaller than the sum of its proper divisors (844862100).

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

434431020 is a wasteful number, since it uses less digits than its factorization.

434431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 434431020 is about 20843.0088998686. The cubic root of 434431020 is about 757.3679844878.

Adding to 434431020 its reverse (20134434), we get a palindrome (454565454).

The spelling of 434431020 in words is "four hundred thirty-four million, four hundred thirty-one thousand, twenty".