256023040 has 240 divisors, whose sum is σ = 773903592. Its totient is φ = 80510976.

The previous prime is 256023037. The next prime is 256023059. The reversal of 256023040 is 40320652.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133079296 + 122943744 = 11536^2 + 11088^2 .

256023040 is a modest number, since divided by 23040 gives 2560 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630642 + ... + 1630798.

Almost surely, 2^256023040 is an apocalyptic number.

256023040 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 256023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386951796).

256023040 is an abundant number, since it is smaller than the sum of its proper divisors (517880552).

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

256023040 is a wasteful number, since it uses less digits than its factorization.

256023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 256023040 is about 16000.7199838007. The cubic root of 256023040 is about 634.9794690285.

Adding to 256023040 its reverse (40320652), we get a palindrome (296343692).

It can be divided in two parts, 2560 and 23040, that multiplied together give a square (58982400 = 7680²).

The spelling of 256023040 in words is "two hundred fifty-six million, twenty-three thousand, forty".