434324240 has 120 divisors (see below), whose sum is σ = 1187381592. Its totient is φ = 147302400.

The previous prime is 434324237. The next prime is 434324243. The reversal of 434324240 is 42423434.

It is an interprime number because it is at equal distance from previous prime (434324237) and next prime (434324243).

It can be written as a sum of positive squares in 4 ways, for example, as 101042704 + 333281536 = 10052^2 + 18256^2 .

It is not an unprimeable number, because it can be changed into a prime (434324243) 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, 395372 + ... + 396468.

Almost surely, 2^434324240 is an apocalyptic number.

434324240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593690796).

434324240 is an abundant number, since it is smaller than the sum of its proper divisors (753057352).

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

434324240 is a wasteful number, since it uses less digits than its factorization.

434324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 434324240 is about 20840.4472120922. The cubic root of 434324240 is about 757.3059275470.

Adding to 434324240 its reverse (42423434), we get a palindrome (476747674).

The spelling of 434324240 in words is "four hundred thirty-four million, three hundred twenty-four thousand, two hundred forty".