1284874848 has 72 divisors (see below), whose sum is σ = 3846187800. Its totient is φ = 405748224.

The previous prime is 1284874847. The next prime is 1284874849. The reversal of 1284874848 is 8484784821.

1284874848 is a `hidden beast` number, since 1 + 2 + 84 + 87 + 484 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1284874847) and next prime (1284874849).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1284874794 and 1284874803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284874847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111933 + ... + 122876.

It is an arithmetic number, because the mean of its divisors is an integer number (53419275).

Almost surely, 2^1284874848 is an apocalyptic number.

1284874848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1284874848 is an abundant number, since it is smaller than the sum of its proper divisors (2561312952).

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

1284874848 is a wasteful number, since it uses less digits than its factorization.

1284874848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234844 (or 234833 counting only the distinct ones).

The product of its digits is 3670016, while the sum is 54.

The square root of 1284874848 is about 35845.1509691339. The cubic root of 1284874848 is about 1087.1436727165.

The spelling of 1284874848 in words is "one billion, two hundred eighty-four million, eight hundred seventy-four thousand, eight hundred forty-eight".