461885256 has 96 divisors (see below), whose sum is σ = 1433203200. Its totient is φ = 131639040.

The previous prime is 461885251. The next prime is 461885267. The reversal of 461885256 is 652588164.

461885256 = 1975² + 1976² + ... + 2086².

461885256 is a `hidden beast` number, since 4 + 618 + 8 + 5 + 25 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (461885251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261705 + ... + 263463.

It is an arithmetic number, because the mean of its divisors is an integer number (14929200).

Almost surely, 2^461885256 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 461885256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716601600).

461885256 is an abundant number, since it is smaller than the sum of its proper divisors (971317944).

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

461885256 is a wasteful number, since it uses less digits than its factorization.

461885256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2292 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 461885256 is about 21491.5159074459. The cubic root of 461885256 is about 772.9973998385.

The spelling of 461885256 in words is "four hundred sixty-one million, eight hundred eighty-five thousand, two hundred fifty-six".