256166400 has 240 divisors, whose sum is σ = 968134464. Its totient is φ = 58490880.

The previous prime is 256166369. The next prime is 256166431. The reversal of 256166400 is 4661652.

256166400 is digitally balanced in base 3, 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 (256166369) and next prime (256166431).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268324 + ... + 269276.

Almost surely, 2^256166400 is an apocalyptic number.

256166400 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 256166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484067232).

256166400 is an abundant number, since it is smaller than the sum of its proper divisors (711968064).

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

256166400 is an equidigital number, since it uses as much as digits as its factorization.

256166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 256166400 is about 16005.1991552745. The cubic root of 256166400 is about 635.0979657480.

The spelling of 256166400 in words is "two hundred fifty-six million, one hundred sixty-six thousand, four hundred".