434730240 has 360 divisors, whose sum is σ = 1780732800. Its totient is φ = 99201024.

The previous prime is 434730223. The next prime is 434730251. The reversal of 434730240 is 42037434.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725461 + ... + 726059.

It is an arithmetic number, because the mean of its divisors is an integer number (4946480).

Almost surely, 2^434730240 is an apocalyptic number.

434730240 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 434730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890366400).

434730240 is an abundant number, since it is smaller than the sum of its proper divisors (1346002560).

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

434730240 is an equidigital number, since it uses as much as digits as its factorization.

434730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 434730240 is about 20850.1856106846. The cubic root of 434730240 is about 757.5418269228.

Adding to 434730240 its reverse (42037434), we get a palindrome (476767674).

The spelling of 434730240 in words is "four hundred thirty-four million, seven hundred thirty thousand, two hundred forty".