1268283744 has 480 divisors, whose sum is σ = 4849447680. Its totient is φ = 315767808.

The previous prime is 1268283719. The next prime is 1268283769. The reversal of 1268283744 is 4473828621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1268283719) and next prime (1268283769).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1268283744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4481427 + ... + 4481709.

It is an arithmetic number, because the mean of its divisors is an integer number (10103016).

Almost surely, 2^1268283744 is an apocalyptic number.

1268283744 is a gapful number since it is divisible by the number (14) 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 1268283744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424723840).

1268283744 is an abundant number, since it is smaller than the sum of its proper divisors (3581163936).

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

1268283744 is a wasteful number, since it uses less digits than its factorization.

1268283744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 1268283744 is about 35612.9715693594. The cubic root of 1268283744 is about 1082.4440943487. Note that the first 3 decimals are identical.

The spelling of 1268283744 in words is "one billion, two hundred sixty-eight million, two hundred eighty-three thousand, seven hundred forty-four".