674739200 has 66 divisors (see below), whose sum is σ = 1672599606. Its totient is φ = 269885440.

The previous prime is 674739193. The next prime is 674739209. The reversal of 674739200 is 2937476.

It can be written as a sum of positive squares in 3 ways, for example, as 24285184 + 650454016 = 4928^2 + 25504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674739209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12422 + ... + 38778.

Almost surely, 2^674739200 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 674739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836299803).

674739200 is an abundant number, since it is smaller than the sum of its proper divisors (997860406).

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

674739200 is a wasteful number, since it uses less digits than its factorization.

674739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26387 (or 26364 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 674739200 is about 25975.7425302916. The cubic root of 674739200 is about 877.0923315290.

The spelling of 674739200 in words is "six hundred seventy-four million, seven hundred thirty-nine thousand, two hundred".