460891296 has 168 divisors, whose sum is σ = 1421249760. Its totient is φ = 146779776.

The previous prime is 460891247. The next prime is 460891297. The reversal of 460891296 is 692198064.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (460891297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 536115 + ... + 536973.

It is an arithmetic number, because the mean of its divisors is an integer number (8459820).

Almost surely, 2^460891296 is an apocalyptic number.

460891296 is a gapful number since it is divisible by the number (46) 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 460891296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710624880).

460891296 is an abundant number, since it is smaller than the sum of its proper divisors (960358464).

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

460891296 is an equidigital number, since it uses as much as digits as its factorization.

460891296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 460891296 is about 21468.3789793268. The cubic root of 460891296 is about 772.4425143386.

The spelling of 460891296 in words is "four hundred sixty million, eight hundred ninety-one thousand, two hundred ninety-six".