461244 has 72 divisors (see below), whose sum is σ = 1375360. Its totient is φ = 117504.

The previous prime is 461239. The next prime is 461257. The reversal of 461244 is 442164.

461244 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (768) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 461244.

It is a congruent number.

It is an unprimeable number.

461244 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 23 ways as a sum of consecutive naturals, for example, 24267 + ... + 24285.

2⁴⁶¹²⁴⁴ 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 461244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687680).

461244 is an abundant number, since it is smaller than the sum of its proper divisors (914116).

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

461244 is a wasteful number, since it uses less digits than its factorization.

461244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 48 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 461244 is about 679.1494680849. The cubic root of 461244 is about 77.2639505183.

It can be divided in two parts, 4612 and 44, that added together give a triangular number (4656 = T₉₆).

The spelling of 461244 in words is "four hundred sixty-one thousand, two hundred forty-four".