256045104 has 160 divisors (see below), whose sum is σ = 845898240. Its totient is φ = 72638208.

The previous prime is 256045103. The next prime is 256045117. The reversal of 256045104 is 401540652.

256045104 is a `hidden beast` number, since 2 + 5 + 604 + 51 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (256045103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686262 + ... + 686634.

It is an arithmetic number, because the mean of its divisors is an integer number (5286864).

Almost surely, 2^256045104 is an apocalyptic number.

256045104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256045104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422949120).

256045104 is an abundant number, since it is smaller than the sum of its proper divisors (589853136).

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

256045104 is a wasteful number, since it uses less digits than its factorization.

256045104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 256045104 is about 16001.4094379214. The cubic root of 256045104 is about 634.9977092938.

Adding to 256045104 its reverse (401540652), we get a palindrome (657585756).

The spelling of 256045104 in words is "two hundred fifty-six million, forty-five thousand, one hundred four".