673408 has 16 divisors (see below), whose sum is σ = 1341810. Its totient is φ = 336640.

The previous prime is 673403. The next prime is 673411. The reversal of 673408 is 804376.

It can be written as a sum of positive squares in only one way, i.e., 506944 + 166464 = 712^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (673403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2503 + ... + 2758.

2⁶⁷³⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

673408 is a deficient number, since it is larger than the sum of its proper divisors (668402).

673408 is an equidigital number, since it uses as much as digits as its factorization.

673408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 673408 is about 820.6144039681. The cubic root of 673408 is about 87.6515143582.

Subtracting from 673408 its sum of digits (28), we obtain a triangular number (673380 = T₁₁₆₀).

It can be divided in two parts, 673 and 408, that added together give a triangular number (1081 = T₄₆).

The spelling of 673408 in words is "six hundred seventy-three thousand, four hundred eight".