256050600 has 192 divisors, whose sum is σ = 905567040. Its totient is φ = 59289600.

The previous prime is 256050581. The next prime is 256050623. The reversal of 256050600 is 6050652.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 131635 + ... + 133565.

It is an arithmetic number, because the mean of its divisors is an integer number (4716495).

Almost surely, 2^256050600 is an apocalyptic number.

256050600 is a gapful number since it is divisible by the number (20) 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 256050600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452783520).

256050600 is an abundant number, since it is smaller than the sum of its proper divisors (649516440).

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

256050600 is a wasteful number, since it uses less digits than its factorization.

256050600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 256050600 is about 16001.5811718717. The cubic root of 256050600 is about 635.0022526632.

The spelling of 256050600 in words is "two hundred fifty-six million, fifty thousand, six hundred".