256746240 has 576 divisors, whose sum is σ = 1059609600. Its totient is φ = 58392576.

The previous prime is 256746209. The next prime is 256746241. The reversal of 256746240 is 42647652.

256746240 is a `hidden beast` number, since 25 + 6 + 7 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 256746195 and 256746204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256746241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11162869 + ... + 11162891.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 2^256746240 is an apocalyptic number.

256746240 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 256746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529804800).

256746240 is an abundant number, since it is smaller than the sum of its proper divisors (802863360).

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

256746240 is a wasteful number, since it uses less digits than its factorization.

256746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 256746240 is about 16023.3030302744. The cubic root of 256746240 is about 635.5767921427.

It can be divided in two parts, 256 and 746240, that added together give a square (746496 = 864²).

The spelling of 256746240 in words is "two hundred fifty-six million, seven hundred forty-six thousand, two hundred forty".