256464450 has 144 divisors (see below), whose sum is σ = 758362176. Its totient is φ = 61622400.

The previous prime is 256464449. The next prime is 256464469. The reversal of 256464450 is 54464652.

256464450 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 644 + 5 + 0 = 666.

It is a super-2 number, since 2×256464450² = 131548028227605000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 975019 + ... + 975281.

It is an arithmetic number, because the mean of its divisors is an integer number (5266404).

Almost surely, 2^256464450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256464450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379181088).

256464450 is an abundant number, since it is smaller than the sum of its proper divisors (501897726).

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

256464450 is a wasteful number, since it uses less digits than its factorization.

256464450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 256464450 is about 16014.5074854021. The cubic root of 256464450 is about 635.3441827677.

The spelling of 256464450 in words is "two hundred fifty-six million, four hundred sixty-four thousand, four hundred fifty".