460848480 has 96 divisors (see below), whose sum is σ = 1498549248. Its totient is φ = 118924800.

The previous prime is 460848467. The next prime is 460848491. The reversal of 460848480 is 84848064.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606 + ... + 30365.

It is an arithmetic number, because the mean of its divisors is an integer number (15609888).

Almost surely, 2^460848480 is an apocalyptic number.

460848480 is a gapful number since it is divisible by the number (40) 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 460848480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749274624).

460848480 is an abundant number, since it is smaller than the sum of its proper divisors (1037700768).

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

460848480 is a wasteful number, since it uses less digits than its factorization.

460848480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31020 (or 31012 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 460848480 is about 21467.3817686275. The cubic root of 460848480 is about 772.4185940757.

The spelling of 460848480 in words is "four hundred sixty million, eight hundred forty-eight thousand, four hundred eighty".