1874828256 has 192 divisors, whose sum is σ = 5932071936. Its totient is φ = 506880000.

The previous prime is 1874828239. The next prime is 1874828269. The reversal of 1874828256 is 6528284781.

It is a junction number, because it is equal to n+sod(n) for n = 1874828199 and 1874828208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560456 + ... + 1561656.

It is an arithmetic number, because the mean of its divisors is an integer number (30896208).

Almost surely, 2^1874828256 is an apocalyptic number.

1874828256 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 1874828256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966035968).

1874828256 is an abundant number, since it is smaller than the sum of its proper divisors (4057243680).

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

1874828256 is a wasteful number, since it uses less digits than its factorization.

1874828256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1337 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 51.

The square root of 1874828256 is about 43299.2870149152. The cubic root of 1874828256 is about 1233.0683864933.

The spelling of 1874828256 in words is "one billion, eight hundred seventy-four million, eight hundred twenty-eight thousand, two hundred fifty-six".