256307040 has 216 divisors, whose sum is σ = 962043264. Its totient is φ = 62092800.

The previous prime is 256307021. The next prime is 256307059. The reversal of 256307040 is 40703652.

It is a happy number.

256307040 is a `hidden beast` number, since 25 + 630 + 7 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256307021) and next prime (256307059).

It is a junction number, because it is equal to n+sod(n) for n = 256306995 and 256307013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173505 + ... + 174975.

It is an arithmetic number, because the mean of its divisors is an integer number (4453904).

Almost surely, 2^256307040 is an apocalyptic number.

256307040 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 256307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481021632).

256307040 is an abundant number, since it is smaller than the sum of its proper divisors (705736224).

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

256307040 is a wasteful number, since it uses less digits than its factorization.

256307040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 256307040 is about 16009.5921247232. The cubic root of 256307040 is about 635.2141712519.

The spelling of 256307040 in words is "two hundred fifty-six million, three hundred seven thousand, forty".