256157406 has 48 divisors (see below), whose sum is σ = 580179600. Its totient is φ = 81575424.

The previous prime is 256157393. The next prime is 256157437. The reversal of 256157406 is 604751652.

It is a happy number.

256157406 is a `hidden beast` number, since 2 + 561 + 57 + 40 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48105 + ... + 53163.

It is an arithmetic number, because the mean of its divisors is an integer number (12087075).

Almost surely, 2^256157406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256157406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290089800).

256157406 is an abundant number, since it is smaller than the sum of its proper divisors (324022194).

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

256157406 is a wasteful number, since it uses less digits than its factorization.

256157406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5193 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 256157406 is about 16004.9181816091. The cubic root of 256157406 is about 635.0905328997.

The spelling of 256157406 in words is "two hundred fifty-six million, one hundred fifty-seven thousand, four hundred six".