1024000256 has 36 divisors (see below), whose sum is σ = 2093875644. Its totient is φ = 499507200.

The previous prime is 1024000247. The next prime is 1024000261. The reversal of 1024000256 is 6520004201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49561600 + 974438656 = 7040^2 + 31216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38285 + ... + 59276.

Almost surely, 2^1024000256 is an apocalyptic number.

1024000256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1024000256 is an abundant number, since it is smaller than the sum of its proper divisors (1069875388).

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

1024000256 is an frugal number, since it uses more digits than its factorization.

1024000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97618 (or 97604 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1024000256 is about 32000.0039999998. The cubic root of 1024000256 is about 1007.9369239106.

Adding to 1024000256 its reverse (6520004201), we get a palindrome (7544004457).

It can be divided in two parts, 1024000 and 256, that multiplied together give a cube (262144000 = 640³).

The spelling of 1024000256 in words is "one billion, twenty-four million, two hundred fifty-six", and thus it is an aban number.