1282634496 has 432 divisors, whose sum is σ = 4620339360. Its totient is φ = 336199680.

The previous prime is 1282634473. The next prime is 1282634519. The reversal of 1282634496 is 6944362821.

1282634496 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 634 + 4 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1282634473) and next prime (1282634519).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5600910 + ... + 5601138.

It is an arithmetic number, because the mean of its divisors is an integer number (10695230).

Almost surely, 2^1282634496 is an apocalyptic number.

1282634496 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 1282634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310169680).

1282634496 is an abundant number, since it is smaller than the sum of its proper divisors (3337704864).

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

1282634496 is a wasteful number, since it uses less digits than its factorization.

1282634496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1282634496 is about 35813.8869155527. The cubic root of 1282634496 is about 1086.5114447430.

The spelling of 1282634496 in words is "one billion, two hundred eighty-two million, six hundred thirty-four thousand, four hundred ninety-six".