256435200 has 528 divisors, whose sum is σ = 1096536960. Its totient is φ = 57507840.

The previous prime is 256435199. The next prime is 256435219. The reversal of 256435200 is 2534652.

256435200 is a `hidden beast` number, since 25 + 6 + 435 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4838374 + ... + 4838426.

Almost surely, 2^256435200 is an apocalyptic number.

256435200 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 256435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548268480).

256435200 is an abundant number, since it is smaller than the sum of its proper divisors (840101760).

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

256435200 is a wasteful number, since it uses less digits than its factorization.

256435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 256435200 is about 16013.5942249078. The cubic root of 256435200 is about 635.3200279919.

Adding to 256435200 its reverse (2534652), we get a palindrome (258969852).

The spelling of 256435200 in words is "two hundred fifty-six million, four hundred thirty-five thousand, two hundred".