256835040 has 192 divisors, whose sum is σ = 1008806400. Its totient is φ = 53360640.

The previous prime is 256835023. The next prime is 256835057. The reversal of 256835040 is 40538652.

It is an interprime number because it is at equal distance from previous prime (256835023) and next prime (256835057).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 256834992 and 256835010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33486 + ... + 40434.

It is an arithmetic number, because the mean of its divisors is an integer number (5254200).

Almost surely, 2^256835040 is an apocalyptic number.

256835040 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 256835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504403200).

256835040 is an abundant number, since it is smaller than the sum of its proper divisors (751971360).

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

256835040 is a wasteful number, since it uses less digits than its factorization.

256835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6985 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 256835040 is about 16026.0737549782. The cubic root of 256835040 is about 635.6500586666.

The spelling of 256835040 in words is "two hundred fifty-six million, eight hundred thirty-five thousand, forty".