4432307460 has 576 divisors, whose sum is σ = 16517136384. Its totient is φ = 866764800.

The previous prime is 4432307459. The next prime is 4432307461. The reversal of 4432307460 is 647032344.

It is an interprime number because it is at equal distance from previous prime (4432307459) and next prime (4432307461).

It is not an unprimeable number, because it can be changed into a prime (4432307461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108105040 + ... + 108105080.

It is an arithmetic number, because the mean of its divisors is an integer number (28675584).

Almost surely, 2^4432307460 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 4432307460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258568192).

4432307460 is an abundant number, since it is smaller than the sum of its proper divisors (12084828924).

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

4432307460 is a wasteful number, since it uses less digits than its factorization.

4432307460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 4432307460 is about 66575.5770534511. The cubic root of 4432307460 is about 1642.6433996042.

The spelling of 4432307460 in words is "four billion, four hundred thirty-two million, three hundred seven thousand, four hundred sixty".