256206272 has 56 divisors (see below), whose sum is σ = 583106784. Its totient is φ = 109412352.

The previous prime is 256206233. The next prime is 256206281. The reversal of 256206272 is 272602652.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×256206272³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150128 + ... + 151824.

Almost surely, 2^256206272 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 256206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291553392).

256206272 is an abundant number, since it is smaller than the sum of its proper divisors (326900512).

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

256206272 is a wasteful number, since it uses less digits than its factorization.

256206272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 256206272 is about 16006.4447020567. Note that the first 3 decimals coincide. The cubic root of 256206272 is about 635.1309147900.

The spelling of 256206272 in words is "two hundred fifty-six million, two hundred six thousand, two hundred seventy-two".