461089728 has 168 divisors, whose sum is σ = 1466642736. Its totient is φ = 137318400.

The previous prime is 461089723. The next prime is 461089751. The reversal of 461089728 is 827980164.

461089728 is a `hidden beast` number, since 4 + 610 + 8 + 9 + 7 + 28 = 666.

It is a Cunningham number, because it is equal to 21473²-1.

It is a super-2 number, since 2×461089728² = 425207474534227968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461089721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385900 + ... + 387092.

Almost surely, 2^461089728 is an apocalyptic number.

461089728 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 461089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733321368).

461089728 is an abundant number, since it is smaller than the sum of its proper divisors (1005553008).

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

461089728 is a wasteful number, since it uses less digits than its factorization.

461089728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 461089728 is about 21472.9999767149. Note that the first 4 decimals coincide. The cubic root of 461089728 is about 772.5533541557.

The spelling of 461089728 in words is "four hundred sixty-one million, eighty-nine thousand, seven hundred twenty-eight".