1038675456 has 240 divisors, whose sum is σ = 3690951264. Its totient is φ = 273825792.

The previous prime is 1038675409. The next prime is 1038675481. The reversal of 1038675456 is 6545768301.

1038675456 is a `hidden beast` number, since 10 + 38 + 67 + 545 + 6 = 666.

1038675456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418090 + ... + 420566.

Almost surely, 2^1038675456 is an apocalyptic number.

1038675456 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 1038675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845475632).

1038675456 is an abundant number, since it is smaller than the sum of its proper divisors (2652275808).

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

1038675456 is a wasteful number, since it uses less digits than its factorization.

1038675456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1038675456 is about 32228.4882673699. The cubic root of 1038675456 is about 1012.7291011517.

The spelling of 1038675456 in words is "one billion, thirty-eight million, six hundred seventy-five thousand, four hundred fifty-six".