256528405 has 48 divisors (see below), whose sum is σ = 377464320. Its totient is φ = 163897344.

The previous prime is 256528399. The next prime is 256528409. The reversal of 256528405 is 504825652.

It is not a de Polignac number, because 256528405 - 2⁵ = 256528373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256528409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998037 + ... + 998293.

It is an arithmetic number, because the mean of its divisors is an integer number (7863840).

Almost surely, 2^256528405 is an apocalyptic number.

It is an amenable number.

256528405 is a deficient number, since it is larger than the sum of its proper divisors (120935915).

256528405 is a wasteful number, since it uses less digits than its factorization.

256528405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The square root of 256528405 is about 16016.5041441633. The cubic root of 256528405 is about 635.3969906846.

The spelling of 256528405 in words is "two hundred fifty-six million, five hundred twenty-eight thousand, four hundred five".