1284255918 has 128 divisors (see below), whose sum is σ = 3210762240. Its totient is φ = 377170560.

The previous prime is 1284255913. The next prime is 1284255919. The reversal of 1284255918 is 8195524821.

1284255918 is a `hidden beast` number, since 1 + 2 + 84 + 2 + 559 + 18 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284255911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4382980 + ... + 4383272.

It is an arithmetic number, because the mean of its divisors is an integer number (25084080).

Almost surely, 2^1284255918 is an apocalyptic number.

1284255918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1284255918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605381120).

1284255918 is an abundant number, since it is smaller than the sum of its proper divisors (1926506322).

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

1284255918 is a wasteful number, since it uses less digits than its factorization.

1284255918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 1284255918 is about 35836.5165438830. The cubic root of 1284255918 is about 1086.9690840126.

The spelling of 1284255918 in words is "one billion, two hundred eighty-four million, two hundred fifty-five thousand, nine hundred eighteen".