256094460 has 180 divisors, whose sum is σ = 854975352. Its totient is φ = 64157184.

The previous prime is 256094459. The next prime is 256094467. The reversal of 256094460 is 64490652.

256094460 is a `hidden beast` number, since 2 + 5 + 609 + 4 + 46 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×256094460³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256094467) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 467907 + ... + 468453.

Almost surely, 2^256094460 is an apocalyptic number.

256094460 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 256094460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427487676).

256094460 is an abundant number, since it is smaller than the sum of its proper divisors (598880892).

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

256094460 is a wasteful number, since it uses less digits than its factorization.

256094460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 256094460 is about 16002.9516027513. The cubic root of 256094460 is about 635.0385080084.

It can be divided in two parts, 2560 and 94460, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 256094460 in words is "two hundred fifty-six million, ninety-four thousand, four hundred sixty".