674995200 has 528 divisors, whose sum is σ = 2631688704. Its totient is φ = 150732800.

The previous prime is 674995193. The next prime is 674995201. The reversal of 674995200 is 2599476.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674995201) 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 47 ways as a sum of consecutive naturals, for example, 14361577 + ... + 14361623.

Almost surely, 2^674995200 is an apocalyptic number.

674995200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315844352).

674995200 is an abundant number, since it is smaller than the sum of its proper divisors (1956693504).

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

674995200 is a wasteful number, since it uses less digits than its factorization.

674995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 674995200 is about 25980.6697373259. The cubic root of 674995200 is about 877.2032421574.

The spelling of 674995200 in words is "six hundred seventy-four million, nine hundred ninety-five thousand, two hundred".