1268499456 has 297 divisors, whose sum is σ = 4342675701. Its totient is φ = 355590144.

The previous prime is 1268499443. The next prime is 1268499461. The reversal of 1268499456 is 6549948621.

The square root of 1268499456 is 35616.

It is a perfect power (a square), and thus also a powerful number.

1268499456 is a `hidden beast` number, since 1 + 26 + 84 + 99 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 914457600 + 354041856 = 30240^2 + 18816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23933926 + ... + 23933978.

Almost surely, 2^1268499456 is an apocalyptic number.

1268499456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1268499456 is the 35616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268499456

1268499456 is an abundant number, since it is smaller than the sum of its proper divisors (3074176245).

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

1268499456 is an equidigital number, since it uses as much as digits as its factorization.

1268499456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 65 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The cubic root of 1268499456 is about 1082.5054588883.

The spelling of 1268499456 in words is "one billion, two hundred sixty-eight million, four hundred ninety-nine thousand, four hundred fifty-six".