256450320 has 240 divisors, whose sum is σ = 1027969920. Its totient is φ = 58593024.

The previous prime is 256450309. The next prime is 256450331. The reversal of 256450320 is 23054652.

It is an interprime number because it is at equal distance from previous prime (256450309) and next prime (256450331).

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 (27).

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 47 ways as a sum of consecutive naturals, for example, 104629 + ... + 107051.

It is an arithmetic number, because the mean of its divisors is an integer number (4283208).

Almost surely, 2^256450320 is an apocalyptic number.

256450320 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 256450320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513984960).

256450320 is an abundant number, since it is smaller than the sum of its proper divisors (771519600).

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

256450320 is a wasteful number, since it uses less digits than its factorization.

256450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 256450320 is about 16014.0663168353. The cubic root of 256450320 is about 635.3325143823.

The spelling of 256450320 in words is "two hundred fifty-six million, four hundred fifty thousand, three hundred twenty".