256740000 has 240 divisors, whose sum is σ = 921080160. Its totient is φ = 62080000.

The previous prime is 256739983. The next prime is 256740013. The reversal of 256740000 is 47652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659806 + ... + 660194.

It is an arithmetic number, because the mean of its divisors is an integer number (3837834).

Almost surely, 2^256740000 is an apocalyptic number.

256740000 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 256740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460540080).

256740000 is an abundant number, since it is smaller than the sum of its proper divisors (664340160).

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

256740000 is a wasteful number, since it uses less digits than its factorization.

256740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 256740000 is about 16023.1083126839. The cubic root of 256740000 is about 635.5716430490.

Adding to 256740000 its reverse (47652), we get a palindrome (256787652).

The spelling of 256740000 in words is "two hundred fifty-six million, seven hundred forty thousand".