1284050880 has 504 divisors, whose sum is σ = 5343771888. Its totient is φ = 292626432.

The previous prime is 1284050879. The next prime is 1284050897. The reversal of 1284050880 is 880504821.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3810072 + ... + 3810408.

It is an arithmetic number, because the mean of its divisors is an integer number (10602722).

Almost surely, 2^1284050880 is an apocalyptic number.

1284050880 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 1284050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671885944).

1284050880 is an abundant number, since it is smaller than the sum of its proper divisors (4059721008).

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

1284050880 is an equidigital number, since it uses as much as digits as its factorization.

1284050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1284050880 is about 35833.6556884725. The cubic root of 1284050880 is about 1086.9112342166.

The spelling of 1284050880 in words is "one billion, two hundred eighty-four million, fifty thousand, eight hundred eighty".