256201416 has 96 divisors (see below), whose sum is σ = 730192320. Its totient is φ = 80995200.

The previous prime is 256201411. The next prime is 256201483. The reversal of 256201416 is 614102652.

256201416 is a `hidden beast` number, since 25 + 620 + 1 + 4 + 16 = 666.

256201416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 256201416.

It is not an unprimeable number, because it can be changed into a prime (256201411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 216346 + ... + 217526.

It is an arithmetic number, because the mean of its divisors is an integer number (7606170).

Almost surely, 2^256201416 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 256201416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365096160).

256201416 is an abundant number, since it is smaller than the sum of its proper divisors (473990904).

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

256201416 is a wasteful number, since it uses less digits than its factorization.

256201416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 256201416 is about 16006.2930124373. The cubic root of 256201416 is about 635.1269021180.

The spelling of 256201416 in words is "two hundred fifty-six million, two hundred one thousand, four hundred sixteen".