461628 has 18 divisors (see below), whose sum is σ = 1166984. Its totient is φ = 153864.

The previous prime is 461627. The next prime is 461639. The reversal of 461628 is 826164.

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461627) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6376 + ... + 6447.

2⁴⁶¹⁶²⁸ is an apocalyptic number.

It is an amenable number.

461628 is an abundant number, since it is smaller than the sum of its proper divisors (705356).

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

461628 is a wasteful number, since it uses less digits than its factorization.

461628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12833 (or 12828 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 461628 is about 679.4321158144. The cubic root of 461628 is about 77.2853861195.

It can be divided in two parts, 461 and 628, that added together give a square (1089 = 33²).

The spelling of 461628 in words is "four hundred sixty-one thousand, six hundred twenty-eight".