1281484800 has 432 divisors, whose sum is σ = 4805629920. Its totient is φ = 338411520.

The previous prime is 1281484793. The next prime is 1281484801. The reversal of 1281484800 is 84841821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (1281484801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12441549 + ... + 12441651.

Almost surely, 2^1281484800 is an apocalyptic number.

1281484800 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 1281484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402814960).

1281484800 is an abundant number, since it is smaller than the sum of its proper divisors (3524145120).

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

1281484800 is an equidigital number, since it uses as much as digits as its factorization.

1281484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1281484800 is about 35797.8323366094. The cubic root of 1281484800 is about 1086.1867143330.

The spelling of 1281484800 in words is "one billion, two hundred eighty-one million, four hundred eighty-four thousand, eight hundred".