1281830400 has 240 divisors, whose sum is σ = 4706209200. Its totient is φ = 341729280.

The previous prime is 1281830357. The next prime is 1281830423. The reversal of 1281830400 is 40381821.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343746 + ... + 347454.

It is an arithmetic number, because the mean of its divisors is an integer number (19609205).

Almost surely, 2^1281830400 is an apocalyptic number.

1281830400 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 1281830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353104600).

1281830400 is an abundant number, since it is smaller than the sum of its proper divisors (3424378800).

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

1281830400 is an equidigital number, since it uses as much as digits as its factorization.

1281830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1281830400 is about 35802.6591191213. The cubic root of 1281830400 is about 1086.2843490943.

The spelling of 1281830400 in words is "one billion, two hundred eighty-one million, eight hundred thirty thousand, four hundred".