256001600 has 42 divisors (see below), whose sum is σ = 629927874. Its totient is φ = 102400000.

The previous prime is 256001597. The next prime is 256001609. The reversal of 256001600 is 6100652.

It can be written as a sum of positive squares in 3 ways, for example, as 91546624 + 164454976 = 9568^2 + 12824^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (256001609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78401 + ... + 81600.

Almost surely, 2^256001600 is an apocalyptic number.

256001600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256001600 is an abundant number, since it is smaller than the sum of its proper divisors (373926274).

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

256001600 is a wasteful number, since it uses less digits than its factorization.

256001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160023 (or 160008 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 256001600 is about 16000.0499999219. The cubic root of 256001600 is about 634.9617436187.

It can be divided in two parts, 25600 and 1600, that multiplied together give a 4-th power (40960000 = 80⁴).

The spelling of 256001600 in words is "two hundred fifty-six million, one thousand, six hundred".