430144540 has 72 divisors (see below), whose sum is σ = 1112635440. Its totient is φ = 138797568.

The previous prime is 430144537. The next prime is 430144549. The reversal of 430144540 is 45441034.

430144540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430144549) 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, 3751 + ... + 29569.

It is an arithmetic number, because the mean of its divisors is an integer number (15453270).

Almost surely, 2^430144540 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 430144540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556317720).

430144540 is an abundant number, since it is smaller than the sum of its proper divisors (682490900).

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

430144540 is a wasteful number, since it uses less digits than its factorization.

430144540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25859 (or 25850 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 430144540 is about 20739.9262293770. The cubic root of 430144540 is about 754.8687928948.

Adding to 430144540 its reverse (45441034), we get a palindrome (475585574).

It can be divided in two parts, 4301 and 44540, that added together give a square (48841 = 221²).

The spelling of 430144540 in words is "four hundred thirty million, one hundred forty-four thousand, five hundred forty".