256354500 has 192 divisors, whose sum is σ = 796723200. Its totient is φ = 63936000.

The previous prime is 256354499. The next prime is 256354523. The reversal of 256354500 is 5453652.

256354500 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1720426 + ... + 1720574.

It is an arithmetic number, because the mean of its divisors is an integer number (4149600).

Almost surely, 2^256354500 is an apocalyptic number.

256354500 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 256354500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398361600).

256354500 is an abundant number, since it is smaller than the sum of its proper divisors (540368700).

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

256354500 is a wasteful number, since it uses less digits than its factorization.

256354500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 256354500 is about 16011.0742925014. The cubic root of 256354500 is about 635.2533760587.

It can be divided in two parts, 25635 and 4500, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 256354500 in words is "two hundred fifty-six million, three hundred fifty-four thousand, five hundred".