4375827456 has 352 divisors, whose sum is σ = 15670652928. Its totient is φ = 1048412160.

The previous prime is 4375827451. The next prime is 4375827473. The reversal of 4375827456 is 6547285734.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 4375827399 and 4375827408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4375827451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3074361 + ... + 3075783.

Almost surely, 2^4375827456 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 4375827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7835326464).

4375827456 is an abundant number, since it is smaller than the sum of its proper divisors (11294825472).

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

4375827456 is a wasteful number, since it uses less digits than its factorization.

4375827456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1459 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 51.

The square root of 4375827456 is about 66150.0374603069. The cubic root of 4375827456 is about 1635.6362595828.

The spelling of 4375827456 in words is "four billion, three hundred seventy-five million, eight hundred twenty-seven thousand, four hundred fifty-six".