1260745200 has 720 divisors, whose sum is σ = 5372989440. Its totient is φ = 269568000.

The previous prime is 1260745163. The next prime is 1260745201. The reversal of 1260745200 is 25470621.

1260745200 is a `hidden beast` number, since 1 + 2 + 607 + 4 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260745201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15958761 + ... + 15958839.

Almost surely, 2^1260745200 is an apocalyptic number.

1260745200 is a gapful number since it is divisible by the number (10) 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 1260745200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686494720).

1260745200 is an abundant number, since it is smaller than the sum of its proper divisors (4112244240).

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

1260745200 is a wasteful number, since it uses less digits than its factorization.

1260745200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1260745200 is about 35506.9739628710. The cubic root of 1260745200 is about 1080.2951868016.

The spelling of 1260745200 in words is "one billion, two hundred sixty million, seven hundred forty-five thousand, two hundred".