256301780 has 48 divisors (see below), whose sum is σ = 617393280. Its totient is φ = 87550848.

The previous prime is 256301753. The next prime is 256301789. The reversal of 256301780 is 87103652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256301789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36386 + ... + 42854.

It is an arithmetic number, because the mean of its divisors is an integer number (12862360).

Almost surely, 2^256301780 is an apocalyptic number.

256301780 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 256301780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308696640).

256301780 is an abundant number, since it is smaller than the sum of its proper divisors (361091500).

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

256301780 is a wasteful number, since it uses less digits than its factorization.

256301780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 256301780 is about 16009.4278473654. The cubic root of 256301780 is about 635.2098258785.

The spelling of 256301780 in words is "two hundred fifty-six million, three hundred one thousand, seven hundred eighty".