1038488256 has 112 divisors (see below), whose sum is σ = 3287877600. Its totient is φ = 319527936.

The previous prime is 1038488237. The next prime is 1038488257. The reversal of 1038488256 is 6528848301.

1038488256 is a `hidden beast` number, since 10 + 384 + 8 + 8 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (1038488257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651 + ... + 45578.

It is an arithmetic number, because the mean of its divisors is an integer number (29356050).

Almost surely, 2^1038488256 is an apocalyptic number.

1038488256 is a gapful number since it is divisible by the number (16) 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 1038488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643938800).

1038488256 is an abundant number, since it is smaller than the sum of its proper divisors (2249389344).

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

1038488256 is a wasteful number, since it uses less digits than its factorization.

1038488256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46263 (or 46247 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1038488256 is about 32225.5838736864. The cubic root of 1038488256 is about 1012.6682562628.

The spelling of 1038488256 in words is "one billion, thirty-eight million, four hundred eighty-eight thousand, two hundred fifty-six".