1925564256 has 288 divisors, whose sum is σ = 7049742336. Its totient is φ = 483840000.

The previous prime is 1925564239. The next prime is 1925564261. The reversal of 1925564256 is 6524655291.

1925564256 is a `hidden beast` number, since 1 + 9 + 2 + 556 + 42 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686056 + ... + 688856.

It is an arithmetic number, because the mean of its divisors is an integer number (24478272).

Almost surely, 2^1925564256 is an apocalyptic number.

1925564256 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 1925564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524871168).

1925564256 is an abundant number, since it is smaller than the sum of its proper divisors (5124178080).

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

1925564256 is a wasteful number, since it uses less digits than its factorization.

1925564256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2855 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 1925564256 is about 43881.2517597208. The cubic root of 1925564256 is about 1244.0924997474.

The spelling of 1925564256 in words is "one billion, nine hundred twenty-five million, five hundred sixty-four thousand, two hundred fifty-six".