1260748800 has 480 divisors, whose sum is σ = 4916435700. Its totient is φ = 318504960.

The previous prime is 1260748799. The next prime is 1260748807. The reversal of 1260748800 is 88470621.

1260748800 is a `hidden beast` number, since 1 + 2 + 607 + 48 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260748807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 66355191 + ... + 66355209.

Almost surely, 2^1260748800 is an apocalyptic number.

1260748800 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 1260748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458217850).

1260748800 is an abundant number, since it is smaller than the sum of its proper divisors (3655686900).

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

1260748800 is an frugal number, since it uses more digits than its factorization.

1260748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1260748800 is about 35507.0246571013. The cubic root of 1260748800 is about 1080.2962150450.

The spelling of 1260748800 in words is "one billion, two hundred sixty million, seven hundred forty-eight thousand, eight hundred".