256849073 has 30 divisors (see below), whose sum is σ = 307986714. Its totient is φ = 213442944.

The previous prime is 256849003. The next prime is 256849091. The reversal of 256849073 is 370948652.

It can be written as a sum of positive squares in 5 ways, for example, as 187909264 + 68939809 = 13708^2 + 8303^2 .

It is not a de Polignac number, because 256849073 - 2²² = 252654769 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (256849003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11167340 + ... + 11167362.

Almost surely, 2^256849073 is an apocalyptic number.

256849073 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

256849073 is a deficient number, since it is larger than the sum of its proper divisors (51137641).

256849073 is an frugal number, since it uses more digits than its factorization.

256849073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 256849073 is about 16026.5115667758. The cubic root of 256849073 is about 635.6616353772.

The spelling of 256849073 in words is "two hundred fifty-six million, eight hundred forty-nine thousand, seventy-three".