460982448 has 60 divisors (see below), whose sum is σ = 1324472520. Its totient is φ = 153512064.

The previous prime is 460982447. The next prime is 460982513. The reversal of 460982448 is 844289064.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not an unprimeable number, because it can be changed into a prime (460982443) 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 11 ways as a sum of consecutive naturals, for example, 445740 + ... + 446772.

It is an arithmetic number, because the mean of its divisors is an integer number (22074542).

Almost surely, 2^460982448 is an apocalyptic number.

460982448 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 460982448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662236260).

460982448 is an abundant number, since it is smaller than the sum of its proper divisors (863490072).

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

460982448 is an equidigital number, since it uses as much as digits as its factorization.

460982448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 460982448 is about 21470.5018106238. The cubic root of 460982448 is about 772.4934338211.

Multiplying 460982448 by its product of nonzero digits (442368), we get a square (203923883556864 = 14280192²).

The spelling of 460982448 in words is "four hundred sixty million, nine hundred eighty-two thousand, four hundred forty-eight".