1356256000 has 144 divisors (see below), whose sum is σ = 3686705568. Its totient is φ = 493056000.

The previous prime is 1356255941. The next prime is 1356256049. The reversal of 1356256000 is 6526531.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1356256000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350074 + ... + 353926.

It is an arithmetic number, because the mean of its divisors is an integer number (25602122).

Almost surely, 2^1356256000 is an apocalyptic number.

1356256000 is a gapful number since it is divisible by the number (10) 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 1356256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843352784).

1356256000 is an abundant number, since it is smaller than the sum of its proper divisors (2330449568).

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

1356256000 is an equidigital number, since it uses as much as digits as its factorization.

1356256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 1356256000 is about 36827.3811178585. The cubic root of 1356256000 is about 1106.9140267374.

The spelling of 1356256000 in words is "one billion, three hundred fifty-six million, two hundred fifty-six thousand".