256456100 has 18 divisors (see below), whose sum is σ = 556509954. Its totient is φ = 102582400.

The previous prime is 256456093. The next prime is 256456103. The reversal of 256456100 is 1654652.

256456100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 34386496 + 222069604 = 5864^2 + 14902^2 .

It is not an unprimeable number, because it can be changed into a prime (256456103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1282181 + ... + 1282380.

Almost surely, 2^256456100 is an apocalyptic number.

256456100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256456100 is an abundant number, since it is smaller than the sum of its proper divisors (300053854).

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

256456100 is a wasteful number, since it uses less digits than its factorization.

256456100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564575 (or 2564568 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 256456100 is about 16014.2467821624. The cubic root of 256456100 is about 635.3372874891.

The spelling of 256456100 in words is "two hundred fifty-six million, four hundred fifty-six thousand, one hundred".