1452560256 has 256 divisors, whose sum is σ = 4958016000. Its totient is φ = 410075136.

The previous prime is 1452560233. The next prime is 1452560287. The reversal of 1452560256 is 6520652541.

1452560256 is a `hidden beast` number, since 1 + 45 + 2 + 5 + 602 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1452560256.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2346315 + ... + 2346933.

It is an arithmetic number, because the mean of its divisors is an integer number (19367250).

Almost surely, 2^1452560256 is an apocalyptic number.

1452560256 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 1452560256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479008000).

1452560256 is an abundant number, since it is smaller than the sum of its proper divisors (3505455744).

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

1452560256 is an equidigital number, since it uses as much as digits as its factorization.

1452560256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1452560256 is about 38112.4685109742. The cubic root of 1452560256 is about 1132.5169718083.

The spelling of 1452560256 in words is "one billion, four hundred fifty-two million, five hundred sixty thousand, two hundred fifty-six".