256117400 has 96 divisors (see below), whose sum is σ = 742452480. Its totient is φ = 79824000.

The previous prime is 256117387. The next prime is 256117423. The reversal of 256117400 is 4711652.

It is a super-3 number, since 3×256117400³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 256117400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7085 + ... + 23715.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^256117400 is an apocalyptic number.

256117400 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 256117400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371226240).

256117400 is an abundant number, since it is smaller than the sum of its proper divisors (486335080).

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

256117400 is a wasteful number, since it uses less digits than its factorization.

256117400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16665 (or 16656 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 256117400 is about 16003.6683294800. The cubic root of 256117400 is about 635.0574689137.

The spelling of 256117400 in words is "two hundred fifty-six million, one hundred seventeen thousand, four hundred".