656448 has 56 divisors (see below), whose sum is σ = 1877568. Its totient is φ = 201216.

The previous prime is 656429. The next prime is 656459. The reversal of 656448 is 844656.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 656448.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2365 + ... + 2627.

It is an arithmetic number, because the mean of its divisors is an integer number (33528).

2⁶⁵⁶⁴⁴⁸ 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 656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938784).

656448 is an abundant number, since it is smaller than the sum of its proper divisors (1221120).

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

656448 is a wasteful number, since it uses less digits than its factorization.

656448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 656448 is about 810.2147863375. The cubic root of 656448 is about 86.9094049675.

The spelling of 656448 in words is "six hundred fifty-six thousand, four hundred forty-eight".