460928 has 32 divisors (see below), whose sum is σ = 992460. Its totient is φ = 211968.

The previous prime is 460919. The next prime is 460937. The reversal of 460928 is 829064.

It is an interprime number because it is at equal distance from previous prime (460919) and next prime (460937).

It can be written as a sum of positive squares in 2 ways, for example, as 399424 + 61504 = 632^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 460928.

It is an unprimeable number.

460928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1526 + ... + 1802.

2⁴⁶⁰⁹²⁸ 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 460928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496230).

460928 is an abundant number, since it is smaller than the sum of its proper divisors (531532).

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

460928 is a wasteful number, since it uses less digits than its factorization.

460928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 460928 is about 678.9167842969. The cubic root of 460928 is about 77.2463018796.

The spelling of 460928 in words is "four hundred sixty thousand, nine hundred twenty-eight".