460946480 has 40 divisors (see below), whose sum is σ = 1077721200. Its totient is φ = 183342848.

The previous prime is 460946467. The next prime is 460946489. The reversal of 460946480 is 84649064.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (460946489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1775 + ... + 30414.

It is an arithmetic number, because the mean of its divisors is an integer number (26943030).

Almost surely, 2^460946480 is an apocalyptic number.

460946480 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 460946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538860600).

460946480 is an abundant number, since it is smaller than the sum of its proper divisors (616774720).

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

460946480 is a wasteful number, since it uses less digits than its factorization.

460946480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32381 (or 32375 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 460946480 is about 21469.6641799540. The cubic root of 460946480 is about 772.4733421187.

The spelling of 460946480 in words is "four hundred sixty million, nine hundred forty-six thousand, four hundred eighty".