256200450 has 192 divisors, whose sum is σ = 744809472. Its totient is φ = 57657600.

The previous prime is 256200443. The next prime is 256200487. The reversal of 256200450 is 54002652.

It is a self number, because there is not a number n which added to its sum of digits gives 256200450.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1631772 + ... + 1631928.

It is an arithmetic number, because the mean of its divisors is an integer number (3879216).

Almost surely, 2^256200450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256200450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372404736).

256200450 is an abundant number, since it is smaller than the sum of its proper divisors (488609022).

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

256200450 is a wasteful number, since it uses less digits than its factorization.

256200450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 256200450 is about 16006.2628367774. The cubic root of 256200450 is about 635.1261038745.

The spelling of 256200450 in words is "two hundred fifty-six million, two hundred thousand, four hundred fifty".