460944288 has 144 divisors (see below), whose sum is σ = 1563359616. Its totient is φ = 125959680.

The previous prime is 460944271. The next prime is 460944317. The reversal of 460944288 is 882449064.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41398 + ... + 51338.

It is an arithmetic number, because the mean of its divisors is an integer number (10856664).

Almost surely, 2^460944288 is an apocalyptic number.

460944288 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 460944288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781679808).

460944288 is an abundant number, since it is smaller than the sum of its proper divisors (1102415328).

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

460944288 is a wasteful number, since it uses less digits than its factorization.

460944288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9987 (or 9976 counting only the distinct ones).

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

The square root of 460944288 is about 21469.6131311209. The cubic root of 460944288 is about 772.4721176350.

The spelling of 460944288 in words is "four hundred sixty million, nine hundred forty-four thousand, two hundred eighty-eight".