256451064 has 64 divisors (see below), whose sum is σ = 665280000. Its totient is φ = 82318080.

The previous prime is 256451059. The next prime is 256451071. The reversal of 256451064 is 460154652.

256451064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76087 + ... + 79385.

It is an arithmetic number, because the mean of its divisors is an integer number (10395000).

Almost surely, 2^256451064 is an apocalyptic number.

256451064 is a gapful number since it is divisible by the number (24) 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 256451064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640000).

256451064 is an abundant number, since it is smaller than the sum of its proper divisors (408828936).

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

256451064 is a wasteful number, since it uses less digits than its factorization.

256451064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 256451064 is about 16014.0895463963. The cubic root of 256451064 is about 635.3331287793. Note that the first 3 decimals are identical.

It can be divided in two parts, 2564 and 51064, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 256451064 in words is "two hundred fifty-six million, four hundred fifty-one thousand, sixty-four".