460220544 has 288 divisors, whose sum is σ = 1596291840. Its totient is φ = 126766080.

The previous prime is 460220491. The next prime is 460220567. The reversal of 460220544 is 445022064.

460220544 is a `hidden beast` number, since 4 + 602 + 2 + 0 + 54 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 1749757 + ... + 1750019.

It is an arithmetic number, because the mean of its divisors is an integer number (5542680).

Almost surely, 2^460220544 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 460220544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798145920).

460220544 is an abundant number, since it is smaller than the sum of its proper divisors (1136071296).

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

460220544 is a wasteful number, since it uses less digits than its factorization.

460220544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 460220544 is about 21452.7514319259. The cubic root of 460220544 is about 772.0676111063.

The spelling of 460220544 in words is "four hundred sixty million, two hundred twenty thousand, five hundred forty-four".