256003456 has 64 divisors (see below), whose sum is σ = 531216000. Its totient is φ = 122757120.

The previous prime is 256003453. The next prime is 256003463. The reversal of 256003456 is 654300652.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×256003456³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

256003456 is a modest number, since divided by 3456 gives 256 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256003453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 591016 + ... + 591448.

It is an arithmetic number, because the mean of its divisors is an integer number (8300250).

Almost surely, 2^256003456 is an apocalyptic number.

256003456 is the 9238-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265608000).

256003456 is an abundant number, since it is smaller than the sum of its proper divisors (275212544).

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

256003456 is a wasteful number, since it uses less digits than its factorization.

256003456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 256003456 is about 16000.1079996355. The cubic root of 256003456 is about 634.9632780963.

The spelling of 256003456 in words is "two hundred fifty-six million, three thousand, four hundred fifty-six".