1284304896 has 390 divisors, whose sum is σ = 4519466160. Its totient is φ = 362299392.

The previous prime is 1284304877. The next prime is 1284304927. The reversal of 1284304896 is 6984034821.

It is a happy number.

1284304896 is a `hidden beast` number, since 128 + 43 + 0 + 489 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16256985 + ... + 16257063.

Almost surely, 2^1284304896 is an apocalyptic number.

1284304896 is a gapful number since it is divisible by the number (16) 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 1284304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259733080).

1284304896 is an abundant number, since it is smaller than the sum of its proper divisors (3235161264).

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

1284304896 is an frugal number, since it uses more digits than its factorization.

1284304896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1284304896 is about 35837.1998906165. The cubic root of 1284304896 is about 1086.9829018440.

The spelling of 1284304896 in words is "one billion, two hundred eighty-four million, three hundred four thousand, eight hundred ninety-six".