4643441460 has 144 divisors (see below), whose sum is σ = 16301376000. Its totient is φ = 1047900672.

The previous prime is 4643441449. The next prime is 4643441497. The reversal of 4643441460 is 641443464.

4643441460 is a `hidden beast` number, since 4 + 643 + 4 + 4 + 1 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76216 + ... + 122864.

It is an arithmetic number, because the mean of its divisors is an integer number (113204000).

Almost surely, 2^4643441460 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 4643441460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150688000).

4643441460 is an abundant number, since it is smaller than the sum of its proper divisors (11657934540).

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

4643441460 is a wasteful number, since it uses less digits than its factorization.

4643441460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46750 (or 46745 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4643441460 is about 68142.8019676326. The cubic root of 4643441460 is about 1668.3224408136.

The spelling of 4643441460 in words is "four billion, six hundred forty-three million, four hundred forty-one thousand, four hundred sixty".