512096256 has 336 divisors, whose sum is σ = 1790334000. Its totient is φ = 146313216.

The previous prime is 512096251. The next prime is 512096257. The reversal of 512096256 is 652690215.

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.

512096256 is a `hidden beast` number, since 5 + 1 + 20 + 9 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 512096256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512096251) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 73156605 + ... + 73156611.

It is an arithmetic number, because the mean of its divisors is an integer number (5328375).

Almost surely, 2^512096256 is an apocalyptic number.

512096256 is a gapful number since it is divisible by the number (56) 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 512096256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895167000).

512096256 is an abundant number, since it is smaller than the sum of its proper divisors (1278237744).

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

512096256 is an frugal number, since it uses more digits than its factorization.

512096256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 512096256 is about 22629.5438752088. The cubic root of 512096256 is about 800.0501301920.

The spelling of 512096256 in words is "five hundred twelve million, ninety-six thousand, two hundred fifty-six".