256149072 has 30 divisors (see below), whose sum is σ = 716862042. Its totient is φ = 85382976.

The previous prime is 256149067. The next prime is 256149077. The reversal of 256149072 is 270941652.

256149072 is a `hidden beast` number, since 2 + 561 + 4 + 90 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (256149067) and next prime (256149077).

It can be written as a sum of positive squares in only one way, i.e., 227889216 + 28259856 = 15096^2 + 5316^2 .

It is a super-2 number, since 2×256149072² = 131224694172922368, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256149077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 889263 + ... + 889550.

Almost surely, 2^256149072 is an apocalyptic number.

It is an amenable number.

256149072 is an abundant number, since it is smaller than the sum of its proper divisors (460712970).

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

256149072 is a wasteful number, since it uses less digits than its factorization.

256149072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778827 (or 1778818 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 256149072 is about 16004.6578220217. The cubic root of 256149072 is about 635.0836453353.

The spelling of 256149072 in words is "two hundred fifty-six million, one hundred forty-nine thousand, seventy-two".