677448 has 36 divisors (see below), whose sum is σ = 1853865. Its totient is φ = 223488.

The previous prime is 677447. The next prime is 677459. The reversal of 677448 is 844776.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 675684 + 1764 = 822^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=582.

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

It is not an unprimeable number, because it can be changed into a prime (677441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6936 + ... + 7032.

2⁶⁷⁷⁴⁴⁸ 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 677448

677448 is an abundant number, since it is smaller than the sum of its proper divisors (1176417).

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

677448 is a wasteful number, since it uses less digits than its factorization.

677448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 102 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 677448 is about 823.0722933011. The cubic root of 677448 is about 87.8264485848.

The spelling of 677448 in words is "six hundred seventy-seven thousand, four hundred forty-eight".