673707408 has 80 divisors (see below), whose sum is σ = 1945000512. Its totient is φ = 199168000.

The previous prime is 673707401. The next prime is 673707413. The reversal of 673707408 is 804707376.

It is a super-3 number, since 3×673707408³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 673707408.

It is not an unprimeable number, because it can be changed into a prime (673707401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6088 + ... + 37208.

Almost surely, 2^673707408 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 673707408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972500256).

673707408 is an abundant number, since it is smaller than the sum of its proper divisors (1271293104).

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

673707408 is a wasteful number, since it uses less digits than its factorization.

673707408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31184 (or 31178 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 673707408 is about 25955.8742484240. The cubic root of 673707408 is about 876.6450285653.

The spelling of 673707408 in words is "six hundred seventy-three million, seven hundred seven thousand, four hundred eight".