256834242900 has 432 divisors, whose sum is σ = 832718035968. Its totient is φ = 66189312000.

The previous prime is 256834242893. The next prime is 256834242937. The reversal of 256834242900 is 9242438652.

256834242900 is a `hidden beast` number, since 2 + 568 + 3 + 42 + 42 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1217223795 + ... + 1217224005.

Almost surely, 2^256834242900 is an apocalyptic number.

256834242900 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 256834242900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416359017984).

256834242900 is an abundant number, since it is smaller than the sum of its proper divisors (575883793068).

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

256834242900 is a wasteful number, since it uses less digits than its factorization.

256834242900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 256834242900 in words is "two hundred fifty-six billion, eight hundred thirty-four million, two hundred forty-two thousand, nine hundred".