256909950 has 288 divisors, whose sum is σ = 827304192. Its totient is φ = 56448000.

The previous prime is 256909949. The next prime is 256909957. The reversal of 256909950 is 59909652.

256909950 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 256909896 and 256909905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256909957) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3618415 + ... + 3618485.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2^256909950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256909950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413652096).

256909950 is an abundant number, since it is smaller than the sum of its proper divisors (570394242).

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

256909950 is a wasteful number, since it uses less digits than its factorization.

256909950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 256909950 is about 16028.4107134800. The cubic root of 256909950 is about 635.7118517891.

The spelling of 256909950 in words is "two hundred fifty-six million, nine hundred nine thousand, nine hundred fifty".