256849920 has 192 divisors, whose sum is σ = 914004000. Its totient is φ = 68419584.

The previous prime is 256849919. The next prime is 256849949. The reversal of 256849920 is 29948652.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276016 + ... + 276944.

Almost surely, 2^256849920 is an apocalyptic number.

256849920 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 256849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457002000).

256849920 is an abundant number, since it is smaller than the sum of its proper divisors (657154080).

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

256849920 is an equidigital number, since it uses as much as digits as its factorization.

256849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 939 counting only the distinct ones).

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

The square root of 256849920 is about 16026.5379917186. The cubic root of 256849920 is about 635.6623341077.

The spelling of 256849920 in words is "two hundred fifty-six million, eight hundred forty-nine thousand, nine hundred twenty".