274985200 has 240 divisors, whose sum is σ = 822000960. Its totient is φ = 86261760.

The previous prime is 274985197. The next prime is 274985209. The reversal of 274985200 is 2589472.

It is a self number, because there is not a number n which added to its sum of digits gives 274985200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274985209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2522746 + ... + 2522854.

It is an arithmetic number, because the mean of its divisors is an integer number (3425004).

Almost surely, 2^274985200 is an apocalyptic number.

274985200 is a gapful number since it is divisible by the number (20) 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 274985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411000480).

274985200 is an abundant number, since it is smaller than the sum of its proper divisors (547015760).

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

274985200 is a wasteful number, since it uses less digits than its factorization.

274985200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 274985200 is about 16582.6777089829. The cubic root of 274985200 is about 650.2840573052.

The spelling of 274985200 in words is "two hundred seventy-four million, nine hundred eighty-five thousand, two hundred".