461152256 has 56 divisors (see below), whose sum is σ = 945430164. Its totient is φ = 224788480.

The previous prime is 461152247. The next prime is 461152261. The reversal of 461152256 is 652251164.

It can be written as a sum of positive squares in 2 ways, for example, as 459673600 + 1478656 = 21440^2 + 1216^2 .

It is a super-2 number, since 2×461152256² = 425322806427779072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

461152256 is a Rhonda number in base 10.

Its product of digits (14400) is a multiple of the sum of its prime factors (1440).

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 3 ways as a sum of consecutive naturals, for example, 335186 + ... + 336558.

Almost surely, 2^461152256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472715082).

461152256 is an abundant number, since it is smaller than the sum of its proper divisors (484277908).

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

461152256 is an equidigital number, since it uses as much as digits as its factorization.

461152256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1416 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 461152256 is about 21474.4558953190. The cubic root of 461152256 is about 772.5882743530.

The spelling of 461152256 in words is "four hundred sixty-one million, one hundred fifty-two thousand, two hundred fifty-six".