1600244256 has 192 divisors, whose sum is σ = 4667120640. Its totient is φ = 477066240.

The previous prime is 1600244231. The next prime is 1600244263. The reversal of 1600244256 is 6524420061.

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, 7583991 + ... + 7584201.

It is an arithmetic number, because the mean of its divisors is an integer number (24307920).

Almost surely, 2^1600244256 is an apocalyptic number.

1600244256 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 1600244256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333560320).

1600244256 is an abundant number, since it is smaller than the sum of its proper divisors (3066876384).

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

1600244256 is a wasteful number, since it uses less digits than its factorization.

1600244256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1600244256 is about 40003.0530834835. The cubic root of 1600244256 is about 1169.6666096631. Note that the first 4 decimals are identical.

The spelling of 1600244256 in words is "one billion, six hundred million, two hundred forty-four thousand, two hundred fifty-six".