461824 has 44 divisors (see below), whose sum is σ = 1031688. Its totient is φ = 204800.

The previous prime is 461819. The next prime is 461843. The reversal of 461824 is 428164.

It is a tau number, because it is divible by the number of its divisors (44).

It is an Ulam number.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11244 + ... + 11284.

2⁴⁶¹⁸²⁴ is an apocalyptic number.

461824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515844).

461824 is an abundant number, since it is smaller than the sum of its proper divisors (569864).

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

461824 is a wasteful number, since it uses less digits than its factorization.

With its successor (461825) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (54).

461824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 461824 is about 679.5763386110. The cubic root of 461824 is about 77.2963226256.

Adding to 461824 its reverse (428164), we get a palindrome (889988).

The spelling of 461824 in words is "four hundred sixty-one thousand, eight hundred twenty-four".