256798512 has 90 divisors (see below), whose sum is σ = 748208188. Its totient is φ = 85266432.

The previous prime is 256798511. The next prime is 256798523. The reversal of 256798512 is 215897652.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

256798512 is a `hidden beast` number, since 2 + 567 + 9 + 85 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (256798511) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 999088 + ... + 999344.

Almost surely, 2^256798512 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 256798512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374104094).

256798512 is an abundant number, since it is smaller than the sum of its proper divisors (491409676).

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

256798512 is an frugal number, since it uses more digits than its factorization.

256798512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 262 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 256798512 is about 16024.9340716273. The cubic root of 256798512 is about 635.6199224279.

It can be divided in two parts, 25679 and 8512, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 256798512 in words is "two hundred fifty-six million, seven hundred ninety-eight thousand, five hundred twelve".