461728 has 24 divisors (see below), whose sum is σ = 931392. Its totient is φ = 225216.

The previous prime is 461717. The next prime is 461801. The reversal of 461728 is 827164.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 461696 and 461705.

It is an unprimeable number.

461728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1351 + ... + 1657.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2⁴⁶¹⁷²⁸ 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 461728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465696).

461728 is an abundant number, since it is smaller than the sum of its proper divisors (469664).

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

461728 is a wasteful number, since it uses less digits than its factorization.

461728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 461728 is about 679.5057026987. The cubic root of 461728 is about 77.2909663562.

The spelling of 461728 in words is "four hundred sixty-one thousand, seven hundred twenty-eight".