1352768256 has 288 divisors, whose sum is σ = 4646584320. Its totient is φ = 380215296.

The previous prime is 1352768233. The next prime is 1352768281. The reversal of 1352768256 is 6528672531.

1352768256 is a `hidden beast` number, since 13 + 527 + 68 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3531841 + ... + 3532223.

Almost surely, 2^1352768256 is an apocalyptic number.

1352768256 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 1352768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323292160).

1352768256 is an abundant number, since it is smaller than the sum of its proper divisors (3293816064).

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

1352768256 is an equidigital number, since it uses as much as digits as its factorization.

1352768256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 1352768256 is about 36779.9980424143. The cubic root of 1352768256 is about 1105.9643665891.

The spelling of 1352768256 in words is "one billion, three hundred fifty-two million, seven hundred sixty-eight thousand, two hundred fifty-six".