1284800000 has 240 divisors, whose sum is σ = 3548304144. Its totient is φ = 460800000.

The previous prime is 1284799993. The next prime is 1284800009. The reversal of 1284800000 is 84821.

It is a super-2 number, since 2×1284800000² = 3301422080000000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284800009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17599964 + ... + 17600036.

Almost surely, 2^1284800000 is an apocalyptic number.

1284800000 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 1284800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774152072).

1284800000 is an abundant number, since it is smaller than the sum of its proper divisors (2263504144).

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

1284800000 is an frugal number, since it uses more digits than its factorization.

1284800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 1284800000 is about 35844.1069075518. The cubic root of 1284800000 is about 1087.1225624608.

Adding to 1284800000 its reverse (84821), we get a palindrome (1284884821).

The spelling of 1284800000 in words is "one billion, two hundred eighty-four million, eight hundred thousand".