256478500 has 48 divisors (see below), whose sum is σ = 578253312. Its totient is φ = 99276000.

The previous prime is 256478471. The next prime is 256478503. The reversal of 256478500 is 5874652.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 256478500.

It is not an unprimeable number, because it can be changed into a prime (256478503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7227 + ... + 23773.

It is an arithmetic number, because the mean of its divisors is an integer number (12046944).

Almost surely, 2^256478500 is an apocalyptic number.

256478500 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 256478500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289126656).

256478500 is an abundant number, since it is smaller than the sum of its proper divisors (321774812).

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

256478500 is a wasteful number, since it uses less digits than its factorization.

256478500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16597 (or 16585 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 256478500 is about 16014.9461441492. The cubic root of 256478500 is about 635.3557846652.

The spelling of 256478500 in words is "two hundred fifty-six million, four hundred seventy-eight thousand, five hundred".