6449792 has 32 divisors (see below), whose sum is σ = 13173300. Its totient is φ = 3143680.

The previous prime is 6449791. The next prime is 6449827. The reversal of 6449792 is 2979446.

It can be written as a sum of positive squares in 2 ways, for example, as 6431296 + 18496 = 2536^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (6449791) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4634 + ... + 5862.

Almost surely, 2^6449792 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 6449792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586650).

6449792 is an abundant number, since it is smaller than the sum of its proper divisors (6723508).

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

6449792 is a wasteful number, since it uses less digits than its factorization.

6449792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1272 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 6449792 is about 2539.6440695499. The cubic root of 6449792 is about 186.1437975378.

The spelling of 6449792 in words is "six million, four hundred forty-nine thousand, seven hundred ninety-two".