461748 has 48 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 125664.

The previous prime is 461717. The next prime is 461801. The reversal of 461748 is 847164.

461748 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×461748² = 426422431008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

461748 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 15 ways as a sum of consecutive naturals, for example, 1813 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

2⁴⁶¹⁷⁴⁸ 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 461748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

461748 is an abundant number, since it is smaller than the sum of its proper divisors (828492).

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

461748 is a wasteful number, since it uses less digits than its factorization.

461748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 274 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 461748 is about 679.5204191192. The cubic root of 461748 is about 77.2920823069.

It can be divided in two parts, 46 and 1748, that multiplied together give a palindrome (80408).

The spelling of 461748 in words is "four hundred sixty-one thousand, seven hundred forty-eight".