256464000 has 384 divisors, whose sum is σ = 999114480. Its totient is φ = 62668800.

The previous prime is 256463993. The next prime is 256464017. The reversal of 256464000 is 464652.

It is a happy number.

256464000 is a `hidden beast` number, since 256 + 4 + 6 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 207936 + 256256064 = 456^2 + 16008^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1871932 + ... + 1872068.

Almost surely, 2^256464000 is an apocalyptic number.

256464000 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 256464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499557240).

256464000 is an abundant number, since it is smaller than the sum of its proper divisors (742650480).

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

256464000 is a wasteful number, since it uses less digits than its factorization.

256464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 256464000 is about 16014.4934356351. The cubic root of 256464000 is about 635.3438111697.

It can be divided in two parts, 25646 and 4000, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 256464000 in words is "two hundred fifty-six million, four hundred sixty-four thousand".