256289489400 has 384 divisors, whose sum is σ = 946225152000. Its totient is φ = 56143933440.

The previous prime is 256289489399. The next prime is 256289489419. The reversal of 256289489400 is 4984982652.

It is a happy number.

256289489400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16678921 + ... + 16694279.

It is an arithmetic number, because the mean of its divisors is an integer number (2464128000).

Almost surely, 2^256289489400 is an apocalyptic number.

256289489400 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 256289489400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473112576000).

256289489400 is an abundant number, since it is smaller than the sum of its proper divisors (689935662600).

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

256289489400 is a wasteful number, since it uses less digits than its factorization.

256289489400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15551 (or 15542 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 256289489400 in words is "two hundred fifty-six billion, two hundred eighty-nine million, four hundred eighty-nine thousand, four hundred".