256374144 has 384 divisors, whose sum is σ = 902210400. Its totient is φ = 69009408.

The previous prime is 256374119. The next prime is 256374191. The reversal of 256374144 is 441473652.

256374144 is a `hidden beast` number, since 2 + 5 + 637 + 4 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×256374144³ (a number of 26 digits) contains 333 as substring.

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 = 256374099 and 256374108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4837222 + ... + 4837274.

Almost surely, 2^256374144 is an apocalyptic number.

256374144 is a gapful number since it is divisible by the number (24) 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 256374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451105200).

256374144 is an abundant number, since it is smaller than the sum of its proper divisors (645836256).

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

256374144 is a wasteful number, since it uses less digits than its factorization.

256374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

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

The square root of 256374144 is about 16011.6877311544. The cubic root of 256374144 is about 635.2696017652.

The spelling of 256374144 in words is "two hundred fifty-six million, three hundred seventy-four thousand, one hundred forty-four".