256401000 has 192 divisors, whose sum is σ = 895564800. Its totient is φ = 66096000.

The previous prime is 256400993. The next prime is 256401007. The reversal of 256401000 is 104652.

It is a happy number.

256401000 is a `hidden beast` number, since 2 + 564 + 0 + 100 + 0 = 666.

256401000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256400993) and next prime (256401007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256401007) 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, 278541 + ... + 279459.

It is an arithmetic number, because the mean of its divisors is an integer number (4664400).

Almost surely, 2^256401000 is an apocalyptic number.

256401000 is a gapful number since it is divisible by the number (20) 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 256401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447782400).

256401000 is an abundant number, since it is smaller than the sum of its proper divisors (639163800).

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

256401000 is a wasteful number, since it uses less digits than its factorization.

256401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 256401000 is about 16012.5263465825. The cubic root of 256401000 is about 635.2917831553.

Adding to 256401000 its reverse (104652), we get a palindrome (256505652).

The spelling of 256401000 in words is "two hundred fifty-six million, four hundred one thousand".