461724 has 24 divisors (see below), whose sum is σ = 1090320. Its totient is φ = 152064.

The previous prime is 461717. The next prime is 461801. The reversal of 461724 is 427164.

461724 = T₃₂ + T₃₃ + ... + T₁₄₀.

461724 is nontrivially palindromic in base 15.

461724 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 461694 and 461703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1132 + ... + 1484.

It is an arithmetic number, because the mean of its divisors is an integer number (45430).

2⁴⁶¹⁷²⁴ is an apocalyptic number.

It is an amenable number.

461724 is an abundant number, since it is smaller than the sum of its proper divisors (628596).

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

461724 is a wasteful number, since it uses less digits than its factorization.

461724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 461724 is about 679.5027593763. The cubic root of 461724 is about 77.2907431622.

Adding to 461724 its reverse (427164), we get a palindrome (888888).

It can be divided in two parts, 46 and 1724, that added together give a triangular number (1770 = T₅₉).

The spelling of 461724 in words is "four hundred sixty-one thousand, seven hundred twenty-four".