480806460 has 144 divisors (see below), whose sum is σ = 1503684000. Its totient is φ = 124300800.

The previous prime is 480806449. The next prime is 480806483. The reversal of 480806460 is 64608084.

480806460 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 0 + 646 + 0 = 666.

It is a super-3 number, since 3×480806460³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 963291 + ... + 963789.

It is an arithmetic number, because the mean of its divisors is an integer number (10442250).

Almost surely, 2^480806460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480806460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751842000).

480806460 is an abundant number, since it is smaller than the sum of its proper divisors (1022877540).

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

480806460 is a wasteful number, since it uses less digits than its factorization.

480806460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 480806460 is about 21927.2994233216. The cubic root of 480806460 is about 783.4117806854.

The spelling of 480806460 in words is "four hundred eighty million, eight hundred six thousand, four hundred sixty".