256962240 has 112 divisors (see below), whose sum is σ = 906536160. Its totient is φ = 68520960.

The previous prime is 256962229. The next prime is 256962247. The reversal of 256962240 is 42269652.

256962240 is a `hidden beast` number, since 25 + 6 + 9 + 622 + 4 + 0 = 666.

256962240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 256962195 and 256962204.

It is not an unprimeable number, because it can be changed into a prime (256962247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6231 + ... + 23510.

Almost surely, 2^256962240 is an apocalyptic number.

256962240 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 256962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453268080).

256962240 is an abundant number, since it is smaller than the sum of its proper divisors (649573920).

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

256962240 is a wasteful number, since it uses less digits than its factorization.

256962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29767 (or 29751 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 256962240 is about 16030.0417965768. The cubic root of 256962240 is about 635.7549785964.

The spelling of 256962240 in words is "two hundred fifty-six million, nine hundred sixty-two thousand, two hundred forty".