256480992 has 120 divisors (see below), whose sum is σ = 768947256. Its totient is φ = 83835648.

The previous prime is 256480969. The next prime is 256481051. The reversal of 256480992 is 299084652.

256480992 is a `hidden beast` number, since 2 + 564 + 80 + 9 + 9 + 2 = 666.

256480992 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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136443 + ... + 138309.

Almost surely, 2^256480992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256480992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384473628).

256480992 is an abundant number, since it is smaller than the sum of its proper divisors (512466264).

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

256480992 is a wasteful number, since it uses less digits than its factorization.

256480992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 256480992 is about 16015.0239462824. The cubic root of 256480992 is about 635.3578424095.

The spelling of 256480992 in words is "two hundred fifty-six million, four hundred eighty thousand, nine hundred ninety-two".