673999200 has 432 divisors, whose sum is σ = 2788321536. Its totient is φ = 149990400.

The previous prime is 673999181. The next prime is 673999201. The reversal of 673999200 is 2999376.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673999201) 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 71 ways as a sum of consecutive naturals, for example, 2167045 + ... + 2167355.

It is an arithmetic number, because the mean of its divisors is an integer number (6454448).

Almost surely, 2^673999200 is an apocalyptic number.

673999200 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 673999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394160768).

673999200 is an abundant number, since it is smaller than the sum of its proper divisors (2114322336).

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

673999200 is a wasteful number, since it uses less digits than its factorization.

673999200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 673999200 is about 25961.4945640655. The cubic root of 673999200 is about 876.7715726616.

The spelling of 673999200 in words is "six hundred seventy-three million, nine hundred ninety-nine thousand, two hundred".