256149344 has 96 divisors (see below), whose sum is σ = 594397440. Its totient is φ = 107430400.

The previous prime is 256149337. The next prime is 256149347. The reversal of 256149344 is 443941652.

It is a super-2 number, since 2×256149344² = 131224972863260672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256149298 and 256149307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256149347) 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, 234239 + ... + 235329.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^256149344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256149344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

256149344 is an abundant number, since it is smaller than the sum of its proper divisors (338248096).

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

256149344 is a wasteful number, since it uses less digits than its factorization.

256149344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1156 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 256149344 is about 16004.6663195457. Note that the first 3 decimals coincide. The cubic root of 256149344 is about 635.0838701298.

The spelling of 256149344 in words is "two hundred fifty-six million, one hundred forty-nine thousand, three hundred forty-four".