6456044406 has 96 divisors (see below), whose sum is σ = 15747950592. Its totient is φ = 1728092160.

The previous prime is 6456044401. The next prime is 6456044431. The reversal of 6456044406 is 6044406546.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6456044401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2924155 + ... + 2926361.

It is an arithmetic number, because the mean of its divisors is an integer number (164041152).

Almost surely, 2^6456044406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6456044406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7873975296).

6456044406 is an abundant number, since it is smaller than the sum of its proper divisors (9291906186).

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

6456044406 is a wasteful number, since it uses less digits than its factorization.

6456044406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 6456044406 is about 80349.5140371116. The cubic root of 6456044406 is about 1862.0392716278.

The spelling of 6456044406 in words is "six billion, four hundred fifty-six million, forty-four thousand, four hundred six".