256545400 has 48 divisors (see below), whose sum is σ = 600117840. Its totient is φ = 101990400.

The previous prime is 256545389. The next prime is 256545403. The reversal of 256545400 is 4545652.

256545400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256545400² = 131631084522320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256545403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29560 + ... + 37240.

It is an arithmetic number, because the mean of its divisors is an integer number (12502455).

Almost surely, 2^256545400 is an apocalyptic number.

256545400 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 256545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300058920).

256545400 is an abundant number, since it is smaller than the sum of its proper divisors (343572440).

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

256545400 is a wasteful number, since it uses less digits than its factorization.

256545400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7864 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 256545400 is about 16017.0346818629. The cubic root of 256545400 is about 635.4110220526.

The spelling of 256545400 in words is "two hundred fifty-six million, five hundred forty-five thousand, four hundred".