256200084 has 120 divisors (see below), whose sum is σ = 775228608. Its totient is φ = 72264960.

The previous prime is 256200083. The next prime is 256200121. The reversal of 256200084 is 480002652.

256200084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256200083) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187564 + ... + 188924.

Almost surely, 2^256200084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256200084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387614304).

256200084 is an abundant number, since it is smaller than the sum of its proper divisors (519028524).

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

256200084 is a wasteful number, since it uses less digits than its factorization.

256200084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 256200084 is about 16006.2514037485. The cubic root of 256200084 is about 635.1258014338.

The spelling of 256200084 in words is "two hundred fifty-six million, two hundred thousand, eighty-four".