256024440 has 192 divisors, whose sum is σ = 956966400. Its totient is φ = 58150656.

The previous prime is 256024427. The next prime is 256024481. The reversal of 256024440 is 44420652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 712981 + ... + 713339.

It is an arithmetic number, because the mean of its divisors is an integer number (4984200).

Almost surely, 2^256024440 is an apocalyptic number.

256024440 is a gapful number since it is divisible by the number (20) 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 256024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478483200).

256024440 is an abundant number, since it is smaller than the sum of its proper divisors (700941960).

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

256024440 is a wasteful number, since it uses less digits than its factorization.

256024440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 256024440 is about 16000.7637317723. The cubic root of 256024440 is about 634.9806264368.

It can be divided in two parts, 2560 and 24440, that added together give a cube (27000 = 30³).

The spelling of 256024440 in words is "two hundred fifty-six million, twenty-four thousand, four hundred forty".