461852928 has 90 divisors (see below), whose sum is σ = 1377223694. Its totient is φ = 153944064.

The previous prime is 461852891. The next prime is 461852959. The reversal of 461852928 is 829258164.

461852928 is a `hidden beast` number, since 4 + 618 + 5 + 2 + 9 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 241864704 + 219988224 = 15552^2 + 14832^2 .

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 9 ways as a sum of consecutive naturals, for example, 9600 + ... + 31872.

Almost surely, 2^461852928 is an apocalyptic number.

461852928 is a gapful number since it is divisible by the number (48) 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 461852928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688611847).

461852928 is an abundant number, since it is smaller than the sum of its proper divisors (915370766).

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

461852928 is an equidigital number, since it uses as much as digits as its factorization.

461852928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22301 (or 22278 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 461852928 is about 21490.7637835420. The cubic root of 461852928 is about 772.9793650253.

The spelling of 461852928 in words is "four hundred sixty-one million, eight hundred fifty-two thousand, nine hundred twenty-eight".