434441100 has 72 divisors (see below), whose sum is σ = 1259919360. Its totient is φ = 115580480.

The previous prime is 434441081. The next prime is 434441101. The reversal of 434441100 is 1144434.

It is not an unprimeable number, because it can be changed into a prime (434441101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149461 + ... + 152339.

It is an arithmetic number, because the mean of its divisors is an integer number (17498880).

Almost surely, 2^434441100 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 434441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

434441100 is an abundant number, since it is smaller than the sum of its proper divisors (825478260).

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

434441100 is a wasteful number, since it uses less digits than its factorization.

434441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 434441100 is about 20843.2507061639. The cubic root of 434441100 is about 757.3738421191.

Adding to 434441100 its reverse (1144434), we get a palindrome (435585534).

It can be divided in two parts, 43444 and 1100, that added together give a palindrome (44544).

The spelling of 434441100 in words is "four hundred thirty-four million, four hundred forty-one thousand, one hundred".