461538 has 80 divisors (see below), whose sum is σ = 1324224. Its totient is φ = 116640.

The previous prime is 461521. The next prime is 461561. The reversal of 461538 is 835164.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (2880) is a multiple of the sum of its prime divisors (60).

It is a nialpdrome in base 9.

It is an unprimeable number.

461538 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 39 ways as a sum of consecutive naturals, for example, 12456 + ... + 12492.

2⁴⁶¹⁵³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662112).

461538 is an abundant number, since it is smaller than the sum of its proper divisors (862686).

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

461538 is a wasteful number, since it uses less digits than its factorization.

461538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 60 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 461538 is about 679.3658808036. The cubic root of 461538 is about 77.2803632173.

It can be divided in two parts, 461 and 538, that added together give a palindrome (999).

The spelling of 461538 in words is "four hundred sixty-one thousand, five hundred thirty-eight".