434544240 has 320 divisors, whose sum is σ = 1539901440. Its totient is φ = 100638720.

The previous prime is 434544223. The next prime is 434544241. The reversal of 434544240 is 42445434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 434544198 and 434544207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434544241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5500521 + ... + 5500599.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2^434544240 is an apocalyptic number.

434544240 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 434544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769950720).

434544240 is an abundant number, since it is smaller than the sum of its proper divisors (1105357200).

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

434544240 is a wasteful number, since it uses less digits than its factorization.

434544240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 434544240 is about 20845.7247415387. The cubic root of 434544240 is about 757.4337730335.

Adding to 434544240 its reverse (42445434), we get a palindrome (476989674).

The spelling of 434544240 in words is "four hundred thirty-four million, five hundred forty-four thousand, two hundred forty".