256119840 has 192 divisors, whose sum is σ = 906837120. Its totient is φ = 67507200.

The previous prime is 256119827. The next prime is 256119859. The reversal of 256119840 is 48911652.

256119840 is a `hidden beast` number, since 2 + 561 + 1 + 98 + 4 + 0 = 666.

256119840 is digitally balanced in base 3, 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 = 256119795 and 256119804.

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, 436027 + ... + 436613.

It is an arithmetic number, because the mean of its divisors is an integer number (4723110).

Almost surely, 2^256119840 is an apocalyptic number.

256119840 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 256119840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453418560).

256119840 is an abundant number, since it is smaller than the sum of its proper divisors (650717280).

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

256119840 is a wasteful number, since it uses less digits than its factorization.

256119840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 256119840 is about 16003.7445618205. The cubic root of 256119840 is about 635.0594856130.

The spelling of 256119840 in words is "two hundred fifty-six million, one hundred nineteen thousand, eight hundred forty".